Results 11 to 20 of about 77 (64)
Convergence of the mirror to a rational elliptic surface
Transactions 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
The local motivic DT/PT correspondence. [PDF]
J 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
Infant 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
Open String Instantons and Relative Stable Morphisms [PDF]
, 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
Extremal Gromov-Witten invariants of the Hilbert scheme of $3$ Points
Forum of Mathematics, Sigma, 2023 We determine all the extremal Gromov-Witten invariants of the Hilbert scheme of $3$ points on a smooth projective complex surface. Our result for the genus- $1$ case verifies a conjecture that we propose for the genus- $1$ extremal ...
Jianxun Hu, Zhenbo Qin
doaj +1 more source
Standard versus reduced genus-one Gromov–Witten invariants [PDF]
, 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
The orientability problem in open Gromov–Witten theory [PDF]
, 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
Curves on K3 surfaces in divisibility 2
Forum 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]
Épijournal 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
Welschinger invariants of small non-toric Del Pezzo surfaces [PDF]
, 2010 We give a recursive formula for purely real Welschinger invariants of the following real Del Pezzo surfaces: the projective plane blown up at q real and s 1 pairs of conjugate imaginary points, where q + 2s 5, and the real quadric blown up at s 1 ...
I. Itenberg, V. Kharlamov, E. Shustin
semanticscholar +1 more source