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On
naturality of the Ozsváth–Szabó contact invariant
Matthew Hedden and Lev Tovstopyat-Nelip |
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Vol. 5 (2022), No. 1, 123–143
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Abstract |
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We discuss functoriality properties of the Ozsváth–Szabó contact invariant, and expose a number of results which seemed destined for folklore. We clarify the (in)dependence of the invariant on the basepoint, prove that it is functorial with respect to contactomorphisms, and show that it is strongly functorial under Stein cobordisms. |
Keywords
Heegaard Floer homology, contact structure, contact
invariant, functoriality, contactomorphism, naturality,
Weinstein, Stein
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Mathematical Subject Classification
Primary: 57K18, 57K31, 57K33, 57K43
Secondary: 53D05, 53D10
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Milestones
Received: 1 March 2021
Revised: 28 October 2021
Accepted: 30 November 2021
Published: 27 October 2022
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Authors |
| Matthew Hedden | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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| Lev Tovstopyat-Nelip | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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