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Thesis

Z/2-equivariant Heegaard Floer cohomology and transverse knots

Abstract:

This thesis consists roughly of two parts. In the first part, we study various properties of Z2-equivariant Heegaard Floer cohomology. Then, in the second part, we apply the results of the first part to study transverse knot invariants in the standard contact S3.

When (L,p) is a based link in S3, the branched double cover Sigma(L) is a rational homology sphere which carries a natural Z2-action. Hendricks, Lipshitz, and Sarkar studied this...

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Division:
MPLS
Department:
Mathematical Institute
Department:
University of Oxford
Role:
Author

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Department:
University of Oxford
Role:
Supervisor
Role:
Examiner
Role:
Examiner
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
UUID:
uuid:ac725204-3779-4685-9b53-a2077c3d4080
Deposit date:
2019-03-21

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