Contractibility of the stability manifold for silting-discrete algebras-Reference-Cited by-同舟云学术

Contractibility of the stability manifold for silting-discrete algebras

Published:2018-09-01 Issue:5 Volume:30 Page:1255-1263
ISSN:1435-5337
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Pauksztello David¹,Saorín Manuel²,Zvonareva Alexandra³

Affiliation:

1. Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, United Kingdom

2. Departamento de Matemáticas, Universidad de Murcia, Aptdo. 4021, 30100Espinardo, Murcia, Spain

3. Chebyshev Laboratory, St. Petersburg State University, 14th Line 29B, St. Petersburg199178, Russia

Abstract

AbstractWe show that any bounded t-structure in the bounded derived category of a silting-discrete algebra is algebraic, i.e. has a length heart with finitely many simple objects. As a corollary, we obtain that the space of Bridgeland stability conditions for a silting-discrete algebra is contractible.

Funder

Russian Foundation for Basic Research

Ministerio de Economía y Competitividad

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2017-0120/pdf

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