Results 1 to 10 of about 288 (46)
The Gromov width of complex Grassmannians [PDF]
, 2005 We show that the Gromov width of the Grassmannian of complex k-planes in C^n is equal to one when the symplectic form is normalized so that it generates the integral cohomology in degree 2. We deduce the lower bound from more general results. For example,
Biran +7 more
core +5 more sources
Universal manifold pairings and positivity [PDF]
, 2005 Gluing two manifolds M_1 and M_2 with a common boundary S yields a closed manifold M. Extending to formal linear combinations x=Sum_i(a_i M_i) yields a sesquilinear pairing p= with values in (formal linear combinations of) closed manifolds.
Akbulut +15 more
core +11 more sources
Quasimaps to GIT fibre bundles and applications
Forum of Mathematics, Sigma, 2021 In [4], Brown proved that the I-function of a toric fibration lies on the overruled Lagrangian cone of its $g=0$ Gromov–Witten theory, introduced by Coates and Givental [8]. In this paper, we prove the theorem for partial flag-variety fibrations.
Jeongseok Oh
doaj +1 more source
Equivariant Brill–Noether theory for elliptic operators and superrigidity of J-holomorphic maps
Forum of Mathematics, Sigma, 2023 The space of Fredholm operators of fixed index is stratified by submanifolds according to the dimension of the kernel. Geometric considerations often lead to questions about the intersections of concrete families of elliptic operators with these ...
Aleksander Doan, Thomas Walpuski
doaj +1 more source
Wall-crossings in toric Gromov–Witten theory I: crepant examples [PDF]
, 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
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
Homological Lagrangian monodromy [PDF]
, 2009 We show that the Hamiltonian Lagrangian monodromy group, in its homological version, is trivial for any weakly exact Lagrangian submanifold of a symplectic manifold.
Shengda Hu, F. Lalonde, R. Leclercq
semanticscholar +1 more source
Lagrangians for the Gopakumar-Vafa conjecture [PDF]
, 2002 This article explains how to construct immersed Lagrangian submanifolds in C 2 that are asymptotic at large distance from the origin to a given braid in the 3‐sphere.
C. Taubes
semanticscholar +1 more source
The Gromov invariant and the Donaldson-Smith standard surface count [PDF]
, 2003 Simon Donaldson and Ivan Smith recently studied symplectic surfaces in symplectic 4{manifolds X by introducing an invariant DS associated to any Lefschetz bration on blowups of X which counts holomorphic sections of a relative Hilbert scheme that is ...
Michael Usher
semanticscholar +1 more source