{"results":[{"id":"arxiv_2506.13703","title":"Duality pairings with the analytic structure group","authors":[{"name":"Christopher Wulff"},{"name":"Rudolf Zeidler"}],"abstract":"We construct a slant product $\\mathrm{S}^{G\\times H}_p(X\\times Y)\\otimes \\mathrm{K}_{-q}(\\bar{\\mathfrak{c}}^{\\mathrm{red}} Y\\rtimes H)\\to \\mathrm{K}_{p-q}(\\mathrm{C}^\\ast_G X)$ on the analytic structure group of Higson and Roe and the K-theory of the stable Higson compactification taking values in the (equivariant) Roe algebra. This complements the slant products constructed in earlier work of Engel and the authors ( arXiv:1909.03777 [math.KT] ). The distinguishing feature of our new slant product is that it specializes to a duality pairing $\\mathrm{S}^H_p(Y) \\otimes \\mathrm{K}_{-p}(\\bar{\\mathfrak{c}}^{\\mathrm{red}} (Y)\\rtimes H)\\to \\mathbb{Z}$ which can be used to extract numerical invariants out of elements in the analytic structure group such as rho-invariants associated to positive scalar curvature metrics.","source":"arXiv","year":2025,"language":"en","subjects":["math.KT"],"url":"https://arxiv.org/abs/2506.13703","pdf_url":"https://arxiv.org/pdf/2506.13703","is_open_access":true,"published_at":"2025-06-16T17:11:06Z","score":69},{"id":"arxiv_2403.19662","title":"Automorphisms of Multiplicative Lie algebra Extensions","authors":[{"name":"Dev Karan Singh"},{"name":"Shiv Datt Kumar"}],"abstract":"In this paper, we discuss the inducibility problem for automorphisms of multiplicative Lie algebra extensions and show that obstruction to the inducibility of pairs lies in the second cohomology group of multiplicative Lie algebras. We also establish the Wells type exact sequence for multiplicative Lie algebras, which relates automorphism groups with the second cohomology group of multiplicative Lie algebras.","source":"arXiv","year":2024,"language":"en","subjects":["math.RA"],"url":"https://arxiv.org/abs/2403.19662","pdf_url":"https://arxiv.org/pdf/2403.19662","is_open_access":true,"published_at":"2024-02-01T07:07:52Z","score":68},{"id":"crossref_10.1371/journal.pone.0293222","title":"Acoustic correlates of perceived personality from Korean utterances in a formal communicative setting","authors":[{"name":"Jieun Song"},{"name":"Minjeong Kim"},{"name":"Jaehan Park"}],"abstract":"The aim of the present study was to find acoustic correlates of perceived personality from the speech produced in a formal communicative setting–that of Korean customer service employees in particular. This work extended previous research on voice personality impressions to a different sociocultural and linguistic context in which speakers are expected to speak politely in a formal register. To use naturally produced speech rather than read speech, we devised a new method that successfully elicited spontaneous speech from speakers who were role-playing as customer service employees, while controlling for the words and sentence structures they used. We then examined a wide range of acoustic properties in the utterances, including voice quality and global acoustic and segmental properties using Principal Component Analysis. Subjects of the personality rating task listened to the utterances and rated perceived personality in terms of the Big-Five personality traits. While replicating some previous findings, we discovered several acoustic variables that exclusively accounted for the personality judgments of female speakers; a more modal voice quality increased perceived conscientiousness and neuroticism, and less dispersed formants reflecting a larger body size increased the perceived levels of extraversion and openness. These biases in personality perception likely reflect gender and occupation-related stereotypes that exist in South Korea. Our findings can also serve as a basis for developing and evaluating synthetic speech for Voice Assistant applications in future studies.","source":"CrossRef","year":2023,"language":"en","subjects":null,"doi":"10.1371/journal.pone.0293222","url":"https://doi.org/10.1371/journal.pone.0293222","is_open_access":true,"citations":1,"published_at":"","score":67.03},{"id":"crossref_10.1093/mnras/stab1718","title":"Predicting 21 cm-line map from Lyman-α emitter distribution with generative adversarial networks","authors":[{"name":"Shintaro Yoshiura"},{"name":"Hayato Shimabukuro"},{"name":"Kenji Hasegawa"},{"name":"Keitaro Takahashi"}],"abstract":"ABSTRACT The radio observation of 21 cm-line signal from the epoch of reionization (EoR) enables us to explore the evolution of galaxies and intergalactic medium in the early Universe. However, the detection and imaging of the 21 cm-line signal are tough due to the foreground and instrumental systematics. In order to overcome these obstacles, as a new approach, we propose to take a cross correlation between observed 21 cm-line data and 21 cm-line images generated from the distribution of the Lyman-α emitters (LAEs) through machine learning. In order to create 21 cm-line maps from LAE distribution, we apply conditional Generative Adversarial Network (cGAN) trained with the results of our numerical simulations. We find that the 21 cm-line brightness temperature maps and the neutral fraction maps can be reproduced with correlation function of 0.5 at large scales k \u003c 0.1 Mpc−1. Furthermore, we study the detectability of the cross-correlation assuming the LAE deep survey of the Subaru Hyper Suprime Cam, the 21 cm observation of the MWA Phase II, and the presence of the foreground residuals. We show that the signal is detectable at k \u003c 0.1 Mpc−1 with 1000 h of MWA observation even if the foreground residuals are 5 times larger than the 21 cm-line power spectrum. Our new approach of cross-correlation with image construction using the cGAN cannot only boost the detectability of EoR 21 cm-line signal but also allow us to estimate the 21 cm-line auto-power spectrum.","source":"CrossRef","year":2021,"language":"en","subjects":null,"doi":"10.1093/mnras/stab1718","url":"https://doi.org/10.1093/mnras/stab1718","pdf_url":"http://academic.oup.com/mnras/advance-article-pdf/doi/10.1093/mnras/stab1718/38693772/stab1718.pdf","is_open_access":true,"citations":6,"published_at":"","score":65.18},{"id":"ss_f50ee56b2557a1dc935ec3df99e5a4e13d78ec25","title":"Topological categories related to Fredholm operators: II. The analytical index","authors":[{"name":"N. V. Ivanov"}],"abstract":"Naively, the analytic index of a family of self-adjoint Fredholm operators ought to be (an equivalence class of) the family of the kernels of these operators. The present paper is devoted to a rigorous version of this idea based on ideas of Segal as developed by the author in arXiv:2111.14313 [math.KT]. The resulting new definition of the analytic index makes sense under much weaker continuity assumptions than the Atiyah-Singer one and can be easily adjusted to families of operators in fibers of a Hilbert bundle. We prove the correctness of the new definition and show that it agrees with the Atiyah-Singer one when the latter applies. As an illustration, these results are used to clarify some subtle aspects of the notion of spectral sections introduced by Melrose and Piazza. The necessary definitions and results from arXiv:2111.14313 [math.KT] are repeated or reviewed in order to make this paper independent to the extent possible.","source":"Semantic Scholar","year":2021,"language":"en","subjects":["Mathematics"],"url":"https://www.semanticscholar.org/paper/f50ee56b2557a1dc935ec3df99e5a4e13d78ec25","is_open_access":true,"citations":5,"published_at":"","score":65.15},{"id":"crossref_10.1111/1348-0421.12831","title":"Production of high‐titer transmission‐defective RNA virus‐based episomal vector using tangential flow filtration","authors":[{"name":"Yumiko Komatsu"},{"name":"Yoji Kakuya"},{"name":"Keizo Tomonaga"}],"abstract":"AbstractIn recent years, viral vector based in vivo gene delivery strategies have achieved a significant success in the treatment of genetic diseases. RNA virus‐based episomal vector lacking viral glycoprotein gene (ΔG‐REVec) is a nontransmissive gene delivery system that enables long‐term gene expression in a variety of cell types in vitro, yet in vivo gene delivery has not been successful due to the difficulty in producing high titer vector. The present study showed that tangential flow filtration (TFF) can be effectively employed to increase the titer of ΔG‐REVec. Concentration and diafiltration of ΔG‐REVec using TFF significantly increased its titer without loss of infectious activity. Importantly, intracranial administration of high titer vector enabled persistent transgene expression in rodent brain.","source":"CrossRef","year":2020,"language":"en","subjects":null,"doi":"10.1111/1348-0421.12831","url":"https://doi.org/10.1111/1348-0421.12831","pdf_url":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1111%2F1348-0421.12831","is_open_access":true,"citations":1,"published_at":"","score":64.03},{"id":"ss_2d7ef405d74882c70898110c3ddaf546ce6454fe","title":"Non-commutative Topology","authors":[{"name":"Neculai S. Teleman"}],"abstract":"","source":"Semantic Scholar","year":2019,"language":"en","subjects":["Mathematics"],"doi":"10.1007/978-3-030-28433-6_10","url":"https://www.semanticscholar.org/paper/2d7ef405d74882c70898110c3ddaf546ce6454fe","is_open_access":true,"citations":1,"published_at":"","score":63.03},{"id":"arxiv_1910.03754","title":"Differential graded Lie algebras and Leibniz algebra cohomology","authors":[{"name":"Jacob Mostovoy"}],"abstract":"In this note, we interpret Leibniz algebras as differential graded Lie algebras. Namely, we consider two functors from the category of Leibniz algebras to that of differential graded Lie algebras and show that they naturally give rise to the Leibniz cohomology and the Chevalley-Eilenberg cohomology. As an application, we prove a conjecture stated by Pirashvili in arXiv:1904.00121 [math.KT].","source":"arXiv","year":2019,"language":"en","subjects":["math.KT"],"url":"https://arxiv.org/abs/1910.03754","pdf_url":"https://arxiv.org/pdf/1910.03754","is_open_access":true,"published_at":"2019-10-09T02:19:53Z","score":63},{"id":"ss_16a5c04555bba0b841a9b4be8af8ca5e8c5f4dad","title":"Categorical Bockstein Sequences","authors":[{"name":"L. Positselski"}],"abstract":"We construct the reduction of an exact category with a twist functor with respect to an element of its graded center in presence of an exact-conservative forgetful functor annihilating this central element. The construction uses matrix factorizations in a nontraditional way. We obtain the Bockstein long exact sequences for the Ext groups in the exact categories produced by reduction. Our motivation comes from the theory of Artin–Tate motives and motivic sheaves with finite coefficients, and our key techniques generalize those of Positselski (Mosc Math J 11(2):317–402, 2011. arXiv:1006.4343 [math.KT], Section 4).","source":"Semantic Scholar","year":2014,"language":"en","subjects":["Mathematics","Computer Science"],"doi":"10.1007/s10485-018-9534-2","url":"https://www.semanticscholar.org/paper/16a5c04555bba0b841a9b4be8af8ca5e8c5f4dad","is_open_access":true,"citations":1,"published_at":"","score":58.03},{"id":"ss_6db5a82559675c300c45c5a7de84c21c290c887c","title":"Anomalies of Dirac Type Operators on Euclidean Space","authors":[{"name":"Alan Carey"},{"name":"H. Grosse"},{"name":"Jens Kaad"}],"abstract":"","source":"Semantic Scholar","year":2014,"language":"en","subjects":null,"doi":"10.1007/s00220-014-2204-9","url":"https://www.semanticscholar.org/paper/6db5a82559675c300c45c5a7de84c21c290c887c","is_open_access":true,"published_at":"","score":58},{"id":"arxiv_1202.3312","title":"New Coefficients For Hopf Cyclic Cohomology","authors":[{"name":"Mohammad Hassanzadeh"}],"abstract":"In this note the categories of coefficients for Hopf cyclic cohomology of comodule algebras and comodule coalgebras are extended. We show that these new categories have two proper different subcategories where the smallest one is the known category of stable anti Yetter-Drinfeld modules. We prove that components of Hopf cyclic cohomology such as cup products work well with these new coefficients.","source":"arXiv","year":2012,"language":"en","subjects":["math.KT"],"url":"https://arxiv.org/abs/1202.3312","pdf_url":"https://arxiv.org/pdf/1202.3312","is_open_access":true,"published_at":"2012-02-15T14:13:42Z","score":56},{"id":"arxiv_1202.2240","title":"Integral cohomology of rational projection method patterns","authors":[{"name":"Franz Gaehler"},{"name":"John Hunton"},{"name":"Johannes Kellendonk"}],"abstract":"We study the cohomology and hence $K$-theory of the aperiodic tilings formed by the so called 'cut and project' method, i.e., patterns in $d$ dimensional Euclidean space which arise as sections of higher dimensional, periodic structures. They form one of the key families of patterns used in quasicrystal physics, where their topological invariants carry quantum mechanical information. Our work develops both a theoretical framework and a practical toolkit for the discussion and calculation of their integral cohomology, and extends previous work that only successfully addressed rational cohomological invariants. Our framework unifies the several previous methods used to study the cohomology of these patterns. We discuss explicit calculations for the main examples of icosahedral patterns in $R^3$ -- the Danzer tiling, the Ammann-Kramer tiling and the Canonical and Dual Canonical $D_6$ tilings, including complete computations for the first of these, as well as results for many of the better known 2 dimensional examples.","source":"arXiv","year":2012,"language":"en","subjects":["math.KT","math-ph","math.AT"],"doi":"10.2140/agt.2013.13.1661","url":"https://arxiv.org/abs/1202.2240","pdf_url":"https://arxiv.org/pdf/1202.2240","is_open_access":true,"published_at":"2012-02-10T11:58:10Z","score":56},{"id":"arxiv_1111.2154","title":"Six-Term Exact Sequences for Smooth Generalized Crossed Products","authors":[{"name":"Olivier Gabriel"},{"name":"Martin Grensing"}],"abstract":"We define smooth generalized crossed products and prove six-term exact sequences of Pimsner-Voiculescu type. This sequence may, in particular, be applied to smooth subalgebras of the Quantum Heisenberg Manifolds in order to compute the generators of their cyclic cohomology. Our proof is based on a combination of arguments from the setting of (Cuntz-)Pimsner algebras and the Toeplitz proof of Bott-periodicity.","source":"arXiv","year":2011,"language":"en","subjects":["math.KT","math.OA"],"url":"https://arxiv.org/abs/1111.2154","pdf_url":"https://arxiv.org/pdf/1111.2154","is_open_access":true,"published_at":"2011-11-09T09:55:26Z","score":55},{"id":"ss_dc6303183e50c7886821047c64b69bf31933e0a2","title":"Isomorphismusvermutungen und 3-Mannigfaltigkeiten","authors":[{"name":"P. Kuhl"}],"abstract":"Based on results by S.K. Roushon (math.KT/0408243 and math.KT/0405211) this thesis summarizes in an axiomatic way when a Meta-Isomorphism-Conjecture in the sense of Lueck and Reich (math.KT/0402405) is true for fundamental groups of 3-dimensional manifolds. In particular we prove that the fibered Farrell-Jones isomorphism conjectures for L-theory and algebraic K-theory are true for this class of groups if they are true for semidirect products of $\\mathbb{Z^2}$ with $\\mathbb{Z}$.","source":"Semantic Scholar","year":2009,"language":"en","subjects":["Mathematics"],"url":"https://www.semanticscholar.org/paper/dc6303183e50c7886821047c64b69bf31933e0a2","is_open_access":true,"citations":4,"published_at":"","score":53.12},{"id":"crossref_10.1007/s11005-008-0226-y","title":"The KT-BRST Complex of a Degenerate Lagrangian System","authors":[{"name":"D. Bashkirov"},{"name":"G. Giachetta"},{"name":"L. Mangiarotti"},{"name":"G. Sardanashvily"}],"abstract":"","source":"CrossRef","year":2008,"language":"en","subjects":null,"doi":"10.1007/s11005-008-0226-y","url":"https://doi.org/10.1007/s11005-008-0226-y","pdf_url":"http://link.springer.com/content/pdf/10.1007/s11005-008-0226-y.pdf","is_open_access":true,"citations":6,"published_at":"","score":52.18}],"total":1067556,"page":1,"page_size":20,"sources":["arXiv","Semantic Scholar","CrossRef"],"query":"math.KT"}