Results 51 to 60 of about 531 (82)

On the asymptotic enumerativity property for Fano manifolds

Forum of Mathematics, Sigma
We study the enumerativity of Gromov–Witten invariants where the domain curve is fixed in moduli and required to pass through the maximum possible number of points.
Roya Beheshti, Brian Lehmann, Carl Lian, Eric Riedl, Jason Starr, Sho Tanimoto   +5 more
doaj   +1 more source

Worldsheet Instantons and Torsion Curves [PDF]

, 2008
We study aspects of worldsheet instantons relevant to a heterotic standard model. The non-simply connected Calabi-Yau threefold used admits Z_3 x Z_3 Wilson lines, and a more detailed investigation shows that the homology classes of curves are H_2(X,Z)=Z^
Braun, Volker, Kreuzer, Maximilian, Ovrut, Burt A., Scheidegger, Emanuel   +3 more
core   +1 more source

From Hurwitz numbers to Kontsevich-Witten tau-function: a connection by Virasoro operators

, 2013
In this letter,we present our conjecture on the connection between the Kontsevich--Witten and the Hurwitz tau-functions. The conjectural formula connects these two tau-functions by means of the $GL(\infty)$ group element.
A. Alexandrov, A. Alexandrov, A. Alexandrov, A. Alexandrov, A. Alexandrov, A. Givental, A. Givental, A. Givental, A. Mironov, A. Mironov, A. Mironov, A. Morozov, A. Morozov, A. Okounkov, A.S. Alexandrov, A.S. Alexandrov, A.S. Alexandrov, A.S. Schwarz, Alexander Alexandrov, C. Faber, C. Itzykson, E. Witten, G. Borot, I. Goulden, I. Kostov, I. Kostov, I.P. Goulden, M. Aganagic, M. Kazarian, M. Kontsevich, S. Kharchev, T. Ekedahl, T. Miwa, T. Shiota, V. Bouchard, V. Kac   +35 more
core   +1 more source

Genus Expanded Cut-and-Join operators and generalized Hurwtiz numbers

, 2016
To distinguish the contributions to the generalized Hurwitz number of the source Riemann surface with different genus, we define the genus expanded cut-and-join operators by observing carefully the symplectic surgery and the gluing formulas of the ...
Zheng, Quan
core   +1 more source

Peterson-Lam-Shimozono’s theorem is an affine analogue of quantum Chevalley formula

Forum of Mathematics, Sigma
We give a new proof of an unpublished result of Dale Peterson, proved by Lam and Shimozono, which identifies explicitly the structure constants, with respect to the quantum Schubert basis, for the T-equivariant quantum cohomology $QH^{\bullet }_T(G/P)
Chi Hong Chow
doaj   +1 more source

New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants

, 2006
We consider the product of two projective lines equipped with the complex conjugation transforming $(x,y)$ into $(\bar{y},\bar{x})$ and blown up in at most two real, or two complex conjugate, points.
Itenberg, Ilia, Kharlamov, Viatcheslav, Shustin, Eugenii   +2 more
core   +2 more sources

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

Shifted genus expanded $\cal{W}_{\infty}$ algebra and shifted Hurwtiz numbers

, 2016
We construct the shifted genus expanded $\cal{W}_{\infty}$ algebra, which is isomorphic to the central subalgebra $\cal{A}_{\infty}$ of infinite symmetric group algebra and to the shifted Schur symmetrical function algebra $\Lambda^\ast$ defined by A. Y.
Zheng, Quan
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

Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds

Forum of Mathematics, Sigma
Let X be a toric Calabi-Yau 3-fold and let $L\subset X$ be an Aganagic-Vafa outer brane. We prove two versions of open WDVV equations for the open Gromov-Witten theory of $(X,L)$ .
Song Yu, Zhengyu Zong
doaj   +1 more source