A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture

ISBN: 1470429632

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Tag: Database/SQL


Posted on 2019-01-31, by nokia241186.

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A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture
English | 2018 | ISBN: 1470429632 | 174 Pages | PDF | 1.3 MB



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 spin 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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