Monopoles and Pin(2)-symmetry
Name
958717941-MIT.pdf
Description
Full printable version
Size
15.1 MB
Format
Adobe PDF
Checksum (MD5)
eb615e64c5471a0c7583e99dd0ea1b73
Author(s)
Lin, Francesco Ph. D. Massachusetts Institute of Technology
Advisor(s)
Tomasz S. Mrowka.
Alternative Title
Monopoles and Pin(two)-symmetry
Date Issued
2016
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 321-326).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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