Vol. 308, No. 1, 2020

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 314: 1  2
Vol. 313: 1  2
Vol. 312: 1  2
Vol. 311: 1  2
Vol. 310: 1  2
Vol. 309: 1  2
Vol. 308: 1  2
Vol. 307: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
This article is available for purchase or by subscription. See below.
On the fixed locus of framed instanton sheaves on $\mathbb{P}^{3}$

Abdelmoubine Amar Henni

Vol. 308 (2020), No. 1, 41–72
Abstract

Let 𝕋 be the three-dimensional torus acting on 3 and 3𝕋(c) be the fixed locus of the corresponding action on the moduli space of rank 2 framed instanton sheaves on 3. We prove that 3𝕋(c) consist only of non-locally-free instanton sheaves whose double dual is the trivial bundle 𝒪32. Moreover, we relate these instantons to Pandharipande–Thomas stable pairs and give a classification of their support. This allows us to compute a lower bound on the number of components of 3𝕋(c).

PDF Access Denied

We have not been able to recognize your IP address 54.144.55.253 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
instantons, fixed locus, moduli spaces
Mathematical Subject Classification 2010
Primary: 14F05, 14J10
Milestones
Received: 17 August 2018
Revised: 10 October 2019
Accepted: 6 June 2020
Published: 3 December 2020
Authors
Abdelmoubine Amar Henni
Departamento de Matemática
Universidade Federal de Santa Catarina
Florianópolis, SC
Brazil