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    Rights statement: © 2018 Walter de Gruyter GmbH, Berlin/Boston.

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Contractibility of the stability manifold for silting-discrete algebas

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Contractibility of the stability manifold for silting-discrete algebas. / Pauksztello, David; Saorin, Manuel; Zvonareva, Alexandra.

In: Forum Mathematicum, Vol. 30, No. 5, 01.09.2018, p. 1255-1263.

Research output: Contribution to journalJournal article

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Pauksztello, D, Saorin, M & Zvonareva, A 2018, 'Contractibility of the stability manifold for silting-discrete algebas', Forum Mathematicum, vol. 30, no. 5, pp. 1255-1263. https://doi.org/10.1515/forum-2017-0120

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Pauksztello, David ; Saorin, Manuel ; Zvonareva, Alexandra. / Contractibility of the stability manifold for silting-discrete algebas. In: Forum Mathematicum. 2018 ; Vol. 30, No. 5. pp. 1255-1263.

Bibtex

@article{6afe2bf87e56423fb90dcbd7d0d5518d,
title = "Contractibility of the stability manifold for silting-discrete algebas",
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",
author = "David Pauksztello and Manuel Saorin and Alexandra Zvonareva",
note = "{\textcopyright} 2018 Walter de Gruyter GmbH, Berlin/Boston.",
year = "2018",
month = sep
day = "1",
doi = "10.1515/forum-2017-0120",
language = "English",
volume = "30",
pages = "1255--1263",
journal = "Forum Mathematicum",
issn = "0933-7741",
publisher = "Walter de Gruyter GmbH",
number = "5",

}

RIS

TY - JOUR

T1 - Contractibility of the stability manifold for silting-discrete algebas

AU - Pauksztello, David

AU - Saorin, Manuel

AU - Zvonareva, Alexandra

N1 - © 2018 Walter de Gruyter GmbH, Berlin/Boston.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - 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.

AB - 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.

KW - Bounded t-structure

KW - silting-discrete

KW - stability condition

U2 - 10.1515/forum-2017-0120

DO - 10.1515/forum-2017-0120

M3 - Journal article

VL - 30

SP - 1255

EP - 1263

JO - Forum Mathematicum

JF - Forum Mathematicum

SN - 0933-7741

IS - 5

ER -