Volume 21, issue 3 (2021)

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
This article is available for purchase or by subscription. See below.
A–infinity algebras, strand algebras, and contact categories

Daniel V Mathews

Algebraic & Geometric Topology 21 (2021) 1093–1207
Abstract

In previous work we showed that the contact category algebra of a quadrangulated surface is isomorphic to the homology of a strand algebra from bordered sutured Floer theory. Being isomorphic to the homology of a differential graded algebra, this contact category algebra has an A–infinity structure, allowing us to combine contact structures not just by gluing, but also by higher-order operations.

We investigate such A–infinity structures and higher-order operations on contact structures. We give explicit constructions of such A–infinity structures, and establish some of their properties, including conditions for the vanishing and nonvanishing of A–infinity operations. Along the way we develop several related notions, including a detailed consideration of tensor products of strand diagrams.

PDF Access Denied

We have not been able to recognize your IP address 18.97.9.172 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
A-infinity algebra, contact category
Mathematical Subject Classification 2010
Primary: 57R17, 57R58
Secondary: 16E40, 16E45
References
Publication
Received: 3 June 2018
Revised: 23 September 2019
Accepted: 17 May 2020
Published: 11 August 2021
Authors
Daniel V Mathews
School of Mathematics
Monash University
Melbourne, Victoria
Australia