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Motivic decompositions of moduli spaces of vector bundles on curves

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arxiv 2007.06067 v1 pith:ETYEY4SQ submitted 2020-07-12 math.AG math.KT

Tomás L. Gómez , Kyoung-Seog Lee This is my paper · ORCID
classification math.AGmath.KT
keywords motivicbundlesdecompositionmodulivectorarxivbundlecases
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abstract

Let $r \geq 2, d$ be two integers which are coprime to each other. Let $C$ be a smooth projective curve of genus $g \geq 2$ and $M(r,L)$ be the moduli space of rank $r$ stable vector bundles on $C$ whose determinants are isomorphic to a fixed line bundle $L$ of degree $d$ on $C.$ In this paper, we study motivic decomposition of $M(r,L)$ for $r=2, 3$ cases. We give a new proof of a version of the main result of arXiv:1806.11101. We also found a new motivic decomposition of $M(3,L).$

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Partial semiorthogonal decompositions for quiver moduli

    math.AG 2024-11 accept novelty 6.0 of 10

    Twisted copies of the derived category of a quiver form the start of a semiorthogonal decomposition inside its moduli space's derived category, in verified examples and under a Teleman criterion.

  2. Motives meet SymPy: studying $\lambda$-ring expressions in Python

    math.AG 2024-12 conditional novelty 5.0 of 10

    A new SymPy-based package for simplifying lambda-ring expressions is used to verify Mozgovoy's motivic formula for twisted Higgs bundles up to genus 18 and rank 3.

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