Results 51 to 60 of about 538 (92)

On semisimplicity of quantum cohomology of $\mathbb P^1$-orbifolds

, 2018
For a $\mathbb P^1$-orbifold $\mathscr C$, we prove that its big quantum cohomology is generically semisimple. As a corollary, we verify a conjecture of Dubrovin for orbi-curves.
Ke, Hua-Zhong
core   +1 more source

k-leaky double Hurwitz descendants

Forum of Mathematics, Sigma
We define a new class of enumerative invariants called k-leaky double Hurwitz descendants, generalizing both descendant integrals of double ramification cycles and the k-leaky double Hurwitz numbers introduced in [CMR25].
Renzo Cavalieri, Hannah Markwig, Johannes Schmitt   +2 more
doaj   +1 more source

HIGHER GENUS GROMOV–WITTEN THEORY OF $\mathsf{Hilb}^{n}(\mathbb{C}^{2})$ AND $\mathsf{CohFTs}$ ASSOCIATED TO LOCAL CURVES

Forum of Mathematics, Pi, 2019
We study the higher genus equivariant Gromov–Witten theory of the Hilbert scheme of $n$ points of $\mathbb{C}^{2}$. Since the equivariant quantum cohomology, computed by Okounkov and Pandharipande [Invent. Math.
RAHUL PANDHARIPANDE, HSIAN-HUA TSENG
doaj   +1 more source

BPS invariants of N = 4 gauge theory on Hirzebruch surfaces [PDF]

, 2012
. Generating functions of BPS invariants forN = 4 U(r) gauge theory on a Hirze-bruch surface with r ≤ 3 are computed. The BPS invariants provide the Betti numbers of moduli spaces of semi-stable sheaves.
Manschot, J.
core  

A formula equating open and closed Gromov-Witten invariants and its applications to mirror symmetry

, 2012
We prove that open Gromov-Witten invariants for semi-Fano toric manifolds of the form $X=\mathbb{P}(K_Y\oplus\mathcal{O}_Y)$, where $Y$ is a toric Fano manifold, are equal to certain 1-pointed closed Gromov-Witten invariants of $X$.
Auroux, Auroux, Chan, Cho, Fukaya, Kwokwai Chan, Lau   +6 more
core   +1 more source

Virasoro Constraints for Toric Bundles

Forum of Mathematics, Pi
We show that the Virasoro conjecture in Gromov–Witten theory holds for the the total space of a toric bundle $E \to B$ if and only if it holds for the base B. The main steps are: (i) We establish a localization formula that expresses Gromov–Witten
Tom Coates, Alexander Givental, Hsian-Hua Tseng   +2 more
doaj   +1 more source

A mirror theorem for Gromov-Witten theory without convexity

Forum of Mathematics, Sigma
We prove a genus zero Givental-style mirror theorem for all complete intersections in toric Deligne-Mumford stacks, which provides an explicit slice called big I-function on Givental’s Lagrangian cone for such targets.
Jun Wang
doaj   +1 more source

Logarithmic Donaldson–Thomas theory

Forum of Mathematics, Pi
Let X be a smooth and projective threefold with a simple normal crossings divisor D. We construct the Donaldson–Thomas theory of the pair $(X|D)$ enumerating ideal sheaves on X relative to D.
Davesh Maulik, Dhruv Ranganathan
doaj   +1 more source

Virasoro conjecture for the stable pairs descendent theory of simply connected 3-folds (with applications to the Hilbert scheme of points of a surface). [PDF]

J Lond Math Soc, 2022
Moreira M.
europepmc   +1 more source

A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part II: quantum double Grothendieck polynomials

Forum of Mathematics, Sigma
In our previous paper, we gave a presentation of the torus-equivariant quantum K-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal.
Toshiaki Maeno, Satoshi Naito, Daisuke Sagaki   +2 more
doaj   +1 more source