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Decorated sheaves and morphisms in tilted hearts

Yinbang Lin|Sz-Sheng Wang|Bingyu Xia
대한수학회 (The Korean Mathematical Society)|2024.11|대한수학회지 (Journal of the KMS)|제61권 제6호|pp. 1073-1093|DOI 10.4134/JKMS.j230331

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참고문헌

키워드

tiltmoduli spaceDecorated sheaf$t$-structureQuot space
주제분류수학

초록

We identify stable pairs and stable framed sheaves as epimorphisms 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.

Abstract

We identify stable pairs and stable framed sheaves as epimorphisms 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.

참고문헌 (21)

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