Results 11 to 20 of about 531 (82)
Convergence of the mirror to a rational elliptic surface
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
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]
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
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]
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]
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]
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
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]
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]
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