Results 51 to 60 of about 515 (73)

The Betti numbers of Mbar_{0,n}(r,d)

, 2005
We calculate the Betti numbers of the coarse moduli space of stable maps of genus 0 to projective space, using a generalization of the Legendre transform.Comment: 19 ...
Getzler, E., Pandharipande, R.
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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
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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

Quantum SU(2) faithfully detects mapping class groups modulo center

, 2002
The Jones-Witten theory gives rise to representations of the (extended) mapping class group of any closed surface Y indexed by a semi-simple Lie group G and a level k.
Andersen, Kauffman, Kevin Walker, Korkmaz, Köerbe, Lickorish, Michael H Freedman, Turaev, Witten, Zhenghan Wang   +9 more
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Eisenstein type series for Calabi-Yau varieties

, 2010
In this article we introduce an ordinary differential equation associated to the one parameter family of Calabi-Yau varieties which is mirror dual to the universal family of smooth quintic three folds. It is satisfied by seven functions written in the $q$
Aganagic, Alim, Almkvist, Borcherds, Breuil, Candelas, Clemens, Clingher, Dijkgraaf, Doran, Douglas, Giveon, Gopakumar, Greuel, Griffiths, Hosono, Hossein Movasati, Johnsen, Kaneko, Katz, Katz, Kontsevich, Kontsevich, Krattenthaler, Morrison, Movasati, Movasati, Pandharipande, Saxl, van der Put, van Enckevort, Wiles, Yamaguchi   +32 more
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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

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
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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

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
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A geometric perspective on the piecewise polynomiality of double Hurwitz numbers [PDF]

, 2013
We describe double Hurwitz numbers as intersection numbers on the moduli space of curves. Assuming polynomiality of the Double Ramification Cycle (which is known in genera 0 and 1), our formula explains the polynomiality in chambers of double Hurwitz ...
Cavalieri, Renzo, Marcus, Steffen
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