Linking Forms, Singularities, and Homological Stability for Diffeomorphism Groups of Odd Dimensional Manifolds

Linking Forms, Singularities, and Homological Stability for Diffeomorphism Groups of Odd Dimensional Manifolds

Let n > 1. We prove a homological stability theorem for the diffeomorphism groups of (4n+1)-dimensional manifolds, with respect to forming the connected sum with (2n-1)-connected, (4n+1)-dimensional manifolds that are stably parallelizable. Our techniques involve the study of the a...

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Bibliographic Details
Main Author: Perlmutter, Nathan
Other Authors: Botvinnik, Boris
Language:en_US
Published: University of Oregon 2015
Subjects:
Algebraic topology
Diffeomorphism groups
Differential topology
Singularity Theory
Surgery Theory
Online Access:http://hdl.handle.net/1794/19241

Internet

http://hdl.handle.net/1794/19241

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