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.
| ISBN: | 9781470429638 |
| Publication date: | 30th October 2018 |
| Author: | Francesco Lin |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 162 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Mathematical physics |