DECORATED SHEAVES AND MORPHISMS IN TILTED HEARTS

Yinbang Lin; Sz Sheng Wang; Bingyu Xia

doi:10.4134/JKMS.j230331

DECORATED SHEAVES AND MORPHISMS IN TILTED HEARTS

Yinbang Lin
, Sz Sheng Wang
, Bingyu Xia

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We identify stable pairs and stable framed sheaves as epi-morphisms and monomorphisms in the hearts of tilted t-structures under appropriate conditions. We then identify the moduli spaces with the corresponding Quot spaces. As a result, we obtain the projectivity of the Quot spaces in absolute cases. In addition, we prove a formula in a motivic Hall algebra, which relates together the Quot spaces under a tilt.

Original language	English
Pages (from-to)	1073-1093
Number of pages	21
Journal	Journal of the Korean Mathematical Society
Volume	61
Issue number	6
DOIs	https://doi.org/10.4134/JKMS.j230331
State	Published - Nov 2024

Keywords

Decorated sheaf
Quot space
moduli space
t-structure
tilt

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10.4134/JKMS.j230331

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title = "DECORATED SHEAVES AND MORPHISMS IN TILTED HEARTS",

abstract = "We identify stable pairs and stable framed sheaves as epi-morphisms and monomorphisms in the hearts of tilted t-structures under appropriate conditions. We then identify the moduli spaces with the corresponding Quot spaces. As a result, we obtain the projectivity of the Quot spaces in absolute cases. In addition, we prove a formula in a motivic Hall algebra, which relates together the Quot spaces under a tilt.",

keywords = "Decorated sheaf, Quot space, moduli space, t-structure, tilt",

author = "Yinbang Lin and Wang, \{Sz Sheng\} and Bingyu Xia",

note = "Publisher Copyright: {\textcopyright} 2024 Korean Mathematical Society.",

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AU - Lin, Yinbang

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AU - Xia, Bingyu

PY - 2024/11

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N2 - We identify stable pairs and stable framed sheaves as epi-morphisms and monomorphisms in the hearts of tilted t-structures under appropriate conditions. We then identify the moduli spaces with the corresponding Quot spaces. As a result, we obtain the projectivity of the Quot spaces in absolute cases. In addition, we prove a formula in a motivic Hall algebra, which relates together the Quot spaces under a tilt.

AB - We identify stable pairs and stable framed sheaves as epi-morphisms and monomorphisms in the hearts of tilted t-structures under appropriate conditions. We then identify the moduli spaces with the corresponding Quot spaces. As a result, we obtain the projectivity of the Quot spaces in absolute cases. In addition, we prove a formula in a motivic Hall algebra, which relates together the Quot spaces under a tilt.

KW - Decorated sheaf

KW - Quot space

KW - moduli space

KW - t-structure

KW - tilt

UR - https://www.scopus.com/pages/publications/85208920716

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DO - 10.4134/JKMS.j230331

M3 - Article

AN - SCOPUS:85208920716

SN - 0304-9914

VL - 61

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JO - Journal of the Korean Mathematical Society

JF - Journal of the Korean Mathematical Society

IS - 6

ER -

DECORATED SHEAVES AND MORPHISMS IN TILTED HEARTS

Abstract

Keywords

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