6 papers · 1 filter
On the Hilbert-Chow crepant resolution conjecture
Denis Nesterov
We prove the Hilbert-Chow crepant resolution conjecture in the exceptional curve classes for all projective surfaces and all genera. In particular, this confirms Ruan's cohomologic…
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…
Admissible covers and stable maps
Denis Nesterov, Maximilian Schimpf, Johannes Schmitt
Moduli spaces of admissible covers and stable maps of target curves give rise to cycles on . We prove a formula relating these cycles. It recovers both the Eked…
Hilbert schemes of points and Fulton-MacPherson compactifications
Denis Nesterov
We relate Hilbert schemes of points and Fulton-MacPherson compactifications by an interpolating stability condition. We then derive wall-crossings formulas and some applications fo…
Unramified Gromov-Witten and Gopakumar-Vafa invariants
Denis Nesterov
Kim, Kresch and Oh defined unramified Gromov-Witten invariants. For a threefold, Pandharipande conjectured that they are equal to Gopakumar-Vafa invariants (BPS invariants) in the…
Quasimaps to moduli spaces of sheaves and related topics
Denis Nesterov
This is a review article based on a mini-course comprised of four talks given by the author at Berkeley.