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

Volume 25, 1 issue

Volume 24, 9 issues

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.