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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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",

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KW - Quot space

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KW - tilt

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ER -

DECORATED SHEAVES AND MORPHISMS IN TILTED HEARTS

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Keywords

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