Abstract
In the present work we generalize 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 spinc structure which is isomorphic to its conjugate, we define the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer homology. In particular, we provide an alternative approach to his disproof of the celebrated Triangulation conjecture.
Original language | English (US) |
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Pages (from-to) | 1-174 |
Number of pages | 174 |
Journal | Memoirs of the American Mathematical Society |
Volume | 255 |
Issue number | 1221 |
DOIs | |
State | Published - Sep 2018 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics