A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture
Download or Read eBook A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture PDF written by Francesco Lin and published by American Mathematical Soc.. This book was released on 2018-10-03 with total page 174 pages. Available in PDF, EPUB and Kindle.
| Author | : Francesco Lin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 174 |
| Release | : 2018-10-03 |
| ISBN-10 | : 9781470429638 |
| ISBN-13 | : 1470429632 |
| Rating | : 4/5 (38 Downloads) |
Book Synopsis A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture by : Francesco Lin
Book excerpt: 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 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.
