2026-09-18T20:11:27Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1045852026-06-16T18:54:47Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Tomasz S. Mrowka.
Lin, Francesco Ph. D. Massachusetts Institute of Technology
Massachusetts Institute of Technology. Department of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2016-09-30T19:36:57Z
2016-09-30T19:36:57Z
2016
2016
http://hdl.handle.net/1721.1/104585
958717941
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 321-326).
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.
by Francesco Lin.
Ph.D.
326 pages
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Monopoles and Pin(2)-symmetry
Monopoles and Pin(two)-symmetry
Thesis
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Publication
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