arXiv Open Access 2023

Loop Space Decompositions of Connected Sums and Applications to the Vigué-Poirrier Conjecture

Sebastian Chenery

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Abstrak

Recent work of Beben and Theriault on decomposing based loop spaces of highly connected Poincaré Duality complexes has yielded new methods for analysing the homotopy theory of manifolds. In this paper we will expand upon these methods, which we will then apply to give new examples supporting a long standing question of rational homotopy theory: the Vigué-Poirrier Conjecture.

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math.AT

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Sebastian Chenery

Format Sitasi

APA MLA BibTeX

Chenery, S. (2023). Loop Space Decompositions of Connected Sums and Applications to the Vigué-Poirrier Conjecture. https://arxiv.org/abs/2304.12726

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓