Abstract
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To each oriented surface
,
we associate a differential graded category
. The homotopy
category
is a triangulated category which satisfies properties akin to those of the contact
categories studied by K Honda. These categories are also related to the algebraic
contact categories of Y Tian and to the bordered sutured categories of R
Zarev.
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Keywords
contact geometry, Heegaard–Floer, topological quantum field
theory
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Mathematical Subject Classification 2010
Primary: 53D10
Secondary: 18G55
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Publication
Received: 20 July 2017
Revised: 3 April 2023
Accepted: 25 April 2023
Published: 19 August 2024
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