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

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Paperback 162 Pages / Published: 30/08/2018
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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.

Publisher: American Mathematical Society
ISBN: 9781470429638
Number of pages: 162
Dimensions: 254 x 178 mm

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