189 citations · 823 across the 44 of their papers we have counts for
52 papers
The GW/PT conjectures for toric pairs
Davesh Maulik, Dhruv Ranganathan
We prove the conjectural correspondence between logarithmic Gromov-Witten theory and logarithmic Donaldson/Pandharipande-Thomas theory for pairs consisting of a to…
Dualizable abelian fibrations
Davesh Maulik, Junliang Shen, Qizheng Yin
In his proof of the fundamental lemma of the Langlands program, Ngô initiated the study of the decomposition theorem for abelian fibrations. When an abelian fibration admits a dual…
On the Orlov conjecture for hyper-Kähler varieties via hyperholomorphic bundles
Davesh Maulik, Junliang Shen, Qizheng Yin
We study Fourier transforms induced by Markman's projectively hyperholomorphic bundles on products of hyper-Kähler varieties of -type. As applications, we prove the follo…
The intrinsic cohomology ring of the universal compactified Jacobian over the moduli space of stable curves
Younghan Bae, Davesh Maulik, Junliang Shen +1
The purpose of this paper is to study the cohomology rings of universal compactified Jacobians. Over the moduli space of Deligne-Mumford stable marke…
Gromov-Witten theory, degenerations, and the tautological ring
Davesh Maulik, Dhruv Ranganathan
Gromov-Witten (GW) theory produces Chow and cohomology classes on the moduli of curves, and there are several conjectures/speculations about their relation to the tautological ring…
The period-index problem for hyper-Kähler varieties via hyperholomorphic bundles
James Hotchkiss, Davesh Maulik, Junliang Shen +2
We prove new bounds for the period-index problem for hyper-Kähler varieties of -type using projectively hyperholomorphic bundles constructed by Markman. We show that $\ma…