Download this article
 Download this article For screen
For printing
Recent Issues

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Formal contact categories

Benjamin Cooper

Algebraic & Geometric Topology 24 (2024) 2389–2449
Abstract

To each oriented surface Σ, we associate a differential graded category 𝒦o (Σ). The homotopy category Ho (𝒦o (Σ)) 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.

Keywords
contact geometry, Heegaard–Floer, topological quantum field theory
Mathematical Subject Classification 2010
Primary: 53D10
Secondary: 18G55
References
Publication
Received: 20 July 2017
Revised: 3 April 2023
Accepted: 25 April 2023
Published: 19 August 2024
Authors
Benjamin Cooper
Department of Mathematics
University of Iowa
Iowa City, IA
United States

Open Access made possible by participating institutions via Subscribe to Open.