Conformal blocks from vertex algebras and their connections on \(\overline{\mathcal{M}}_{g,n}\)

DOI10.2140/gt.2021.25.2235zbMath1484.14011arXiv1901.06981OpenAlexW2911693513MaRDI QIDQ1983186

Chiara Damiolini, Angela Gibney, Nicola Tarasca

Publication date: 16 September 2021

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06981

zbMATH Keywords

vertex algebrasChern classes of vector bundles on moduli of curvesconformal blocks and coinvariantsconnections and Atiyah algebrassheaves on moduli of curves

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Families, moduli of curves (algebraic) (14H10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (4)

Convergence of sewing conformal blocks ⋮ Geometric positivity of the fusion products of unitary vertex operator algebra modules ⋮ Sewing and propagation of conformal blocks ⋮ Recent trends in algebraic geometry. Abstracts from the workshop held June 18--23, 2023

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