Blown-up toric surfaces with non-polyhedral effective cone

AM Castravet, A Laface, J Tevelev… - Journal für die reine und …, 2023 - degruyter.com
We construct projective toric surfaces whose blow-up at a general point has a non-
polyhedral pseudo-effective cone. As a consequence, we prove that the pseudo-effective …

Vertex algebras of CohFT-type

C Damiolini, A Gibney, N Tarasca - Facets of algebraic geometry, 2022 - books.google.com
Representations of certain vertex algebras, here called of CohFT-type, can be used to
construct vector bundles of coinvariants and conformal blocks on moduli spaces of stable …

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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Conformal blocks attached to twisted groups

C Damiolini - Mathematische Zeitschrift, 2020 - Springer
The aim of this paper is to generalize the notion of conformal blocks to the situation in which
the Lie algebra they are attached to is replaced with a sheaf of Lie algebras depending on …

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

S Mukhopadhyay - Advances in Mathematics, 2016 - Elsevier
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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 …

Geometrization of the TUY/WZW/KZ connection

I Biswas, S Mukhopadhyay, R Wentworth - Letters in Mathematical …, 2024 - Springer
Given a simple, simply connected, complex algebraic group G, a flat projective connection
on the bundle of non-abelian theta functions on the moduli space of semistable parabolic G …

Rank-level duality of conformal blocks for odd orthogonal Lie algebras in genus 0

S Mukhopadhyay - Transactions of the American Mathematical Society, 2016 - ams.org
Classical invariants for representations of one Lie group can often be related to invariants of
some other Lie group. Physics suggests that the right objects to consider for these questions …

Basepoint Free Cycles on 0n from Gromov–Witten Theory

P Belkale, A Gibney - International Mathematics Research …, 2021 - academic.oup.com
Basepoint free cycles on the moduli space of stable-pointed rational curves, defined using
Gromov–Witten invariants of smooth projective homogeneous spaces are introduced and …

On an Equivalence of Divisors on from Gromov-Witten Theory and Conformal Blocks

L Chen, A Gibney, L Heller, E Kalashnikov… - Transformation …, 2024 - Springer
We consider a conjecture that identifies two types of base point free divisors on M¯ 0, n. The
first arises from Gromov-Witten theory of a Grassmannian. The second comes from first …