Results 11 to 20 of about 531 (82)

Convergence of the mirror to a rational elliptic surface

open access: yesTransactions of the London Mathematical Society, 2021
The construction introduced by Gross, Hacking and Keel in (Several Complex Variables (Springer, New York, NY, 1976))allows one to construct a formal mirror family to a pair (S,D) where S is a smooth rational projective surface and D a certain type of ...
Lawrence Jack Barrott
doaj   +2 more sources

Multiple quantum products in toric varieties

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 11, Page 675-686, 2002., 2001
We generalize the author's formula for Gromov-Witten invariants of symplectic toric manifolds (see math.AG/0006156) to those needed to compute the quantum product of more than two classes directly, i.e.
Spielberg, Holger
core   +6 more sources

The local motivic DT/PT correspondence. [PDF]

open access: yesJ Lond Math Soc, 2021
Abstract We show that the Quot scheme QLn=QuotA3(IL,n) parameterising length n quotients of the ideal sheaf of a line in A3 is a global critical locus, and calculate the resulting motivic partition function (varying n), in the ring of relative motives over the configuration space of points in A3.
Davison B, Ricolfi AT.
europepmc   +2 more sources

Maternal mental health and infant neurodevelopment at 6 months in a low‐income South African cohort

open access: yesInfant Mental Health Journal: Infancy and Early Childhood, Volume 43, Issue 6, Page 849-863, November 2022., 2022
Abstract Maternal mental health disorders and the adverse consequences for infant neurodevelopment have received substantial research attention in high‐income countries over the past five decades. In Africa, where relatively little work has been done on this topic, researchers have largely focused on infant physical health outcomes.
Marlette Burger   +4 more
wiley   +1 more source

Wall-crossings in toric Gromov–Witten theory I: crepant examples [PDF]

open access: yes, 2006
Let X be a Gorenstein orbifold with projective coarse moduli space X and let Y be a crepant resolution of X . We state a conjecture relating the genus-zero Gromov‐ Witten invariants of X to those of Y , which differs in general from the Crepant ...
T. Coates, H. Iritani, Hsian-Hua Tseng
semanticscholar   +1 more source

Open String Instantons and Relative Stable Morphisms [PDF]

open access: yes, 2001
We show how topological open string theory amplitudes can be computed by using relative stable morphisms in the algebraic category. We achieve our goal by explicitly working through an example which has been previously considered by Ooguri and Vafa from ...
Jun Li, Yun S. Song
semanticscholar   +1 more source

Standard versus reduced genus-one Gromov–Witten invariants [PDF]

open access: yes, 2007
We give an explicit formula for the difference between the standard and reduced genus-one Gromov‐Witten invariants. Combined with previous work on geometric properties of the latter, this paper makes it possible to compute the standard genus-one GW ...
A. Zinger
semanticscholar   +1 more source

Curves on K3 surfaces in divisibility 2

open access: yesForum of Mathematics, Sigma, 2021
We prove a conjecture of Maulik, Pandharipande and Thomas expressing the Gromov–Witten invariants of K3 surfaces for divisibility 2 curve classes in all genera in terms of weakly holomorphic quasi-modular forms of level 2.
Younghan Bae, Tim-Henrik Buelles
doaj   +1 more source

Curve counting and S-duality [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2023
We work on a projective threefold $X$ which satisfies the Bogomolov-Gieseker conjecture of Bayer-Macr\`i-Toda, such as $\mathbb P^3$ or the quintic threefold.
Soheyla Feyzbakhsh, Richard P. Thomas
doaj   +1 more source

The orientability problem in open Gromov–Witten theory [PDF]

open access: yes, 2012
We give an explicit formula for the holonomy of the orientation bundle of a family of real Cauchy‐Riemann operators. A special case of this formula resolves the orientability question for spaces of maps from Riemann surfaces with Lagrangian boundary ...
Penka V. Georgieva
semanticscholar   +1 more source

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