144 citations · 192 across the 8 of their papers we have counts for
8 papers
Birational Invariants from Hodge Structures and Quantum Multiplication
Ludmil Katzarkov, Maxim Kontsevich, Tony Pantev +1
We introduce new invariants of smooth complex projective varieties, called Hodge atoms. Their construction combines rational Gromov-Witten invariants with classical Hodge theory an…
Noninvertible symmetries in the B model TFT
A. Caldararu, T. Pantev, E. Sharpe +2
In this paper we explore noninvertible symmetries in general (not necessarily rational) SCFTs and their topological B-twists for Calabi-Yau manifolds. We begin with a detailed over…
Chern-Simons theory, decomposition, and the A model
Tony Pantev, Eric Sharpe, Xingyang Yu
In this paper, we discuss how gauging one-form symmetries in Chern-Simons theories is implemented in an A-twisted topological open string theory. For example, the contribution from…
Decomposition and the Gross-Taylor string theory
T. Pantev, E. Sharpe
It was recently argued by Nguyen-Tanizaki-Unsal that two-dimensional pure Yang-Mills theory is equivalent to (decomposes into) a disjoint union of (invertible) quantum field theori…
Decomposition in Chern-Simons theories in three dimensions
T. Pantev, E. Sharpe
In this paper we discuss decomposition in the context of three-dimensional Chern-Simons theories. Specifically, we argue that a Chern-Simons theory with a gauged noneffectively-act…
Cluster decomposition, T-duality, and gerby CFT's
S. Hellerman, A. Henriques, T. Pantev +2
In this paper we study CFT's associated to gerbes. These theories suffer from a lack of cluster decomposition, but this problem can be resolved: the CFT's are the same as CFT's for…
Schematic homotopy types and non-abelian Hodge theory
L. Katzarkov, T. Pantev, B. Toen
In this work we use Hodge theoretic methods to study homotopy types of complex projective manifolds with arbitrary fundamental groups. The main tool we use is the \textit{schematiz…
Symplectic Lefschetz fibrations with arbitrary fundamental groups
J. Amorós, F. Bogomolov, L. Katzarkov +2
In this paper we give an explicit construction of a symplectic Lefschetz fibration whose total space is a smooth compact four dimensional manifold with a prescribed fundamental gro…