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Forum Mathematicum

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Volume 30, Issue 5

Issues

Contractibility of the stability manifold for silting-discrete algebras

David Pauksztello
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  • Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, United Kingdom
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/ Manuel Saorín / Alexandra Zvonareva
Published Online: 2018-04-21 | DOI: https://doi.org/10.1515/forum-2017-0120

Abstract

We 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.

Keywords: Bounded t-structure; silting-discrete; stability condition

MSC 2010: 18E30; 16G10

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About the article


Received: 2017-06-11

Revised: 2018-02-27

Published Online: 2018-04-21

Published in Print: 2018-09-01


Funding Source: Russian Foundation for Basic Research

Award identifier / Grant number: 16-31-60089

Funding Source: Ministerio de Economía y Competitividad

Award identifier / Grant number: MTM2016-77445

Alexandra Zvonareva is supported by the RFBR Grant 16-31-60089. Manuel Saorín is supported by research projects from the Ministerio de Economía y Competitividad of Spain (MTM2016-77445P) and from the Fundación “Séneca” of Murcia (19880/GERM/15), both with a part of FEDER funds.


Citation Information: Forum Mathematicum, Volume 30, Issue 5, Pages 1255–1263, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2017-0120.

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