From the 1 of 7 linked papers with an AI index.
7 papers
Universal compactified Jacobians: cohomological invariance and boundary combinatorics
Rahul Pandharipande, Dan Petersen, Johannes Schmitt +1
The paper gives a direct combinatorial proof that the cohomology of universal compactified Jacobians over the moduli space of stable curves does not depend on the degree or the cho…
Torelli loci, product cycles, and the homomorphism conjecture for
Samir Canning, Lycka Drakengren, Jeremy Feusi +7
The tautological -subalgebra of the Chow ring of the moduli space of principally polarized abelian va…
The multiple cover formula for and abelian surfaces
Georg Oberdieck, Rahul Pandharipande
All reduced descendent Gromov-Witten invariants of and abelian surfaces in primitive curve classes can be calculated by the methods of \cite{BOPY,MPT}. To handle the imprimiti…
Gromov-Witten theory of and Noether-Lefschetz theory of
Aitor Iribar Lopez, Rahul Pandharipande, Hsian-Hua Tseng
We calculate the genus 1 Gromov-Witten theory of the Hilbert scheme of points in the plane. The fundamental 1-point invariant (with a divisor insert…
Tautological and non-tautological cycles on the moduli space of abelian varieties
Samir Canning, Dragos Oprea, Rahul Pandharipande
The tautological Chow ring of the moduli space of principally polarized abelian varieties of dimension was defined and calculated by van der Geer in 1999. By st…
Tautological projection for cycles on the moduli space of abelian varieties
Samir Canning, Sam Molcho, Dragos Oprea +1
We define a tautological projection operator for algebraic cycle classes on the moduli space of principally polarized abelian varieties : every cycle class decompose…