Conformal blocks from vertex algebras and their connections on ℳg, n

C Damiolini, A Gibney, N Tarasca - Geometry & Topology, 2021 - msp.org
We show that coinvariants of modules over vertex operator algebras give rise to
quasicoherent sheaves on moduli of stable pointed curves. These generalize Verlinde …

[HTML][HTML] The cone of type A, level 1, conformal blocks divisors

N Giansiracusa, A Gibney - Advances in Mathematics, 2012 - Elsevier
We prove that the type A, level 1, conformal blocks divisors on M¯ 0, n span a finitely
generated, full-dimensional subcone of the nef cone. Each such divisor induces a morphism …

Conformal blocks and rational normal curves

N Giansiracusa - arXiv preprint arXiv:1012.4835, 2010 - arxiv.org
We prove that the Chow quotient parametrizing configurations of n points in $\mathbb {P}^ d
$ which generically lie on a rational normal curve is isomorphic to $\overline {M} _ {0, n} …

Conformal blocks in genus zero and the KZ connection

P Belkale, N Fakhruddin - Perspectives on Four Decades of Algebraic …, 2024 - Springer
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Higher-level conformal blocks divisors on

V Alexeev, A Gibney, D Swinarski - Proceedings of the Edinburgh …, 2014 - cambridge.org
We study a family of semi-ample divisors on the moduli space of n-pointed genus 0 curves
given by higher-level conformal blocks. We derive formulae for their intersections with a …

Veronese quotient models of M0, n and conformal blocks

A Gibney, D Jensen, HB Moon… - Michigan Mathematical …, 2013 - projecteuclid.org
The moduli space of Deligne–Mumford stable n-pointed rational curves, M0, n, is a natural
compactification of the moduli space of smooth pointed genus 0 curves and has figured …

[HTML][HTML] Rank-level duality and conformal block divisors

S Mukhopadhyay - Advances in Mathematics, 2016 - Elsevier
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The first Chern class of the Verlinde bundles

A Marian, D Oprea, R Pandharipande - String-Math, 2012 - books.google.com
A formula for the first Chern class of the Verlinde bundle over the moduli space of smooth
genus g curves is given. A finite-dimensional argument is presented in rank 2 using …

NONVANISHING OF CONFORMAL BLOCKS DIVISORS ON

P Belkale, A Gibney, S Mukhopadhyay - Transformation Groups, 2016 - Springer
We introduce and study the problem of finding necessary and sufficient conditions under
which a conformal blocks divisor on M¯ 0, n M _ 0, n is nonzero, solving the problem …

The algebra of conformal blocks

C Manon - Transformation Groups, 2013 - Springer
We construct and study a family of toric degenerations of the Cox ring of the moduli of quasi-
parabolic principal SL 3 (C) bundles on a smooth, marked curve (C, ⃗ p): Elements of this …