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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

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