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Fiberwise Poincaré–Hopf Theory and Exotic Smooth Structures on Manifold Bundles

Description:

We prove the Rigidity Conjecture of Goette and Igusa, which states that, after rationalizing, there are no stable exotic smoothings of manifold bundles with closed even dimensional fibers. The key ingredients of the proof are fiberwise Poincaré–Hopf theorems generalizing earlier such results about the Becker–Gottlieb transfer. These theorems show how...

Keyword:

Exotic Smooth Structures, K-theory, Torsion, Morse Theory, and Manifolds

Subject:

Mathematics and Theoretical mathematics

Creator:

Jain, Yajit Kumar

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

06/28/2021

Date Created:

2021-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:15542 and etdadmin_upload_817174