On the h -Cobordism Category I-Reference-Cited by-同舟云学术

On the h -Cobordism Category I

Published:2019-12-19 Issue:23 Volume:2021 Page:18118-18148
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Raptis George¹,Steimle Wolfgang²

Affiliation:

1. Fakultät für Mathematik, Universität Regensburg, D-93040 Regensburg, Germany

2. Institut für Mathematik, Universität Augsburg, D-86135 Augsburg, Germany

Abstract

Abstract We consider the topological category of $h$-cobordisms between smooth manifolds with boundary and compare its homotopy type with the standard $h$-cobordism space of a compact smooth manifold.

Funder

DFG

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2021/23/18118/42309412/rnz329.pdf

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5. On the local triviality of the restriction map for embeddings;Lima;Comment. Math. Helv.,1964

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1. An additivity theorem for cobordism categories;Algebraic & Geometric Topology;2021-04-25

2. Topological manifold bundles and the $A$-theory assembly map;Proceedings of the American Mathematical Society;2020-04-22

3. A cobordism model for Waldhausen K‐theory;Journal of the London Mathematical Society;2018-11-02