Monopoles and Pin(2)-symmetry
Author | : Francesco Lin (Ph. D.) |
Publisher | : |
Total Pages | : 326 |
Release | : 2016 |
ISBN-10 | : OCLC:958717941 |
ISBN-13 | : |
Rating | : 4/5 (41 Downloads) |
Download or read book Monopoles and Pin(2)-symmetry written by Francesco Lin (Ph. D.) and published by . This book was released on 2016 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis 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. Furthermore, we discuss the analogue in this setting of the surgery exact triangle, and perform some sample computations.