Hasil untuk "math.GT"

Teruo Kurai

Jean Claude Njiki

Juhyun Kim

We prove that the rank of knot Floer homology detects the Hopf links, and generalize this result further to classify the links of the second smallest knot Floer homology. We also prove a knot Floer homology analog of arXiv:1910.04246v1 [math.GT] and give a partial answer to when the equality holds in the rank inequality between the knot Floer homology of a link and its sublinks.

Sara Manafi, Ljubodrag B. Boskovic, Dejan S. Filipovic

Tianyu Yang, Can Ding, Y. Jay Guo

Xuemei Cheng, Halvard Haug, Marisa Di Sabatino et al.

Junhai Liu, Wenjuan Han, Xiaowen Chen et al.

H. Huhtinen, H. Palonen, M. Malmivirta et al.

Weiwei Hu, Guoliang Li, Jiacai Ni et al.

Patrick Penoyar, Eric Johnson, Mark McKnight et al.

Hengnan Hu, S. Tan

Luo and Tan gave a new identity for hyperbolic surfaces with/without geodesic boundary in terms of dilogarithms of the lengths of simple closed geodesics on embedded three‐holed spheres or one‐holed tori in Luo and Tan [‘A dilogarithm identity on moduli spaces of curves’, J. Differential Geom., Preprint, 2011, arXiv:1102.2133[math.GT]]. However, the identity was trivial for a hyperbolic one‐holed torus with geodesic boundary. In this paper, we adapt the argument from Luo and Tan to give an identity for hyperbolic tori with one geodesic boundary or cusp in terms of dilogarithm functions on the set of lengths of simple closed geodesics on the torus. As a corollary, we are also able to express the Luo–Tan identity as a sum over all immersed three‐holed spheres P which are embeddings when restricted to the interior of P .

Xinye Liu, Monica Sorescu, Jingxian Wang et al.

R. C. Avohou, J. B. Geloun, M. N. Hounkonnou

We provide recipe theorems for the Bollob as and Riordan polynomial R dened on classes of ribbon graphs with half-edges introduced in arXiv:1310.3708(math.GT). We also dene a generalized transition polynomial Q on this new category of ribbon graphs and establish a relationship between Q and R.

David E. V. Rose

We construct a categorification of the quantum sl_3 projectors, the sl_3 analog of the Jones-Wenzl projectors, as the stable limit of the complexes assigned to k-twist torus braids (as k goes to infinity) in a suitably shifted version of Morrison and Nieh's geometric formulation of sl_3 link homology (math.GT/0612754). We use these projectors to give a categorification of the sl_3 Reshetikhin-Turaev invariant of framed tangles.

Stefan Friedl, Stefano Vidussi

In this paper we use the Lubotzky alternative for finitely generated linear groups to determine which 4-manifolds admitting a free circle action can be endowed with a symplectic structure with trivial canonical class. The content of this paper partly overlaps with the content of the unpublished preprint "Symplectic 4-manifolds with a free circle action" (arXiv:0801.1313 [math.GT]).

Stefan Friedl, Stefano Vidussi

In this paper we use the Lubotzky alternative for finitely generated linear groups to determine which 4-manifolds admitting a free circle action can be endowed with a symplectic structure with trivial canonical class. The content of this paper partly overlaps with the content of the unpublished preprint "Symplectic 4-manifolds with a free circle action" (arXiv:0801.1313 [math.GT]).

D. DeTurck, H. Gluck

In the first paper of this series, "Electrodynamics and the Gauss Linking Integral on the 3-sphere and in Hyperbolic 3-space," we developed a steady-state version of classical electrodynamics in these two spaces, including explicit formulas for the vector-valued Green's operator, explicit formulas of Biot-Savart type for the magnetic field, and a corresponding Ampere's Law contained in Maxwell's equations, and then used these to obtain explicit inte- gral formulas for the linking number of two disjoint closed curves. In this second paper, we obtain integral formulas for twisting, writhing, and helicity, and prove that link = twist + writhe on the 3-sphere and in hyperbolic 3-space. We then use these results to derive upper bounds for the helicity of vector fields and lower bounds for the first eigenvalue of the curl operator on subdomains of these two spaces. An announcement of these results, and a hint of their proofs, can be found in the Math ArXiv, math.GT/0406276, while an expanded version of the first paper, with full proofs, can be found at math.GT/0510388.

Hao Wu

The contents of this 98-page paper have been subsumed into the 191-page paper "A colored sl(N)-homology for links in S^3" (arXiv:0907.0695v1 [math.GT]), in which we further develop the theory and use it to construct a colored link homology.