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# A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture Paperback / softback

## Part of the Memoirs of the American Mathematical Society series

#### 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.

#### Information

• Format: Paperback / softback
• Pages: 162 pages
• Publisher: American Mathematical Society
• Publication Date:
• Category: Topology
• ISBN: 9781470429638

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