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A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture (Memoirs of the American Mathematical Society)

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Description

About the Author Francesco Lin, Massachusetts Institute of Technology, Cambridge, MA. Product Description In the present work the author generalizes the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. Focusing then on the special case of a three-manifold equipped equipped with a ${\rm spin}^c$ structure which is isomorphic to its conjugate, the author defines the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer homology. In particular, the author provides an alternative approach to his disproof of the celebrated Triangulation conjecture.

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Format
paperback
Domain
Amazon UK
Release Date
30 August 2018
Listed Since
08 June 2018

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