WebMay 1, 1996 · pseudoholomorphic curves contact forms Mathematics Subject Classification 58Gxx 53C15 1. Introduction, Notations, Results We consider a compact oriented 3 … Webfor pseudoholomorphic curves has been an important tool in applications of pseudo-holomorphic curves to 4-dimensional symplectic topology. First stated by Gromov in [6], rigorous proofs were subsequently provided by McDu [17], and Micallef and White [18]. Put simply, positivity of intersections states that isolated inter-
Pseudo-holomorphic curves and virtual fundamental …
WebPseudo-holomorphic curves were introduced to symplectic topology in a seminal paper of Gromov [6], and their study has by now evolved into a mature subject. The aim of this text … WebMay 24, 2024 · Aleksey Zinger. This survey article, in honor of G. Tian's 60th birthday, is inspired by R. Pandharipande's 2002 note highlighting research directions central to … brown dog ear wax
Properties of pseudoholomorphic curves in symplectisations I ...
WebIn mathematics, specifically in symplectic topology and algebraic geometry, Gromov–Witten (GW) invariants are rational numbers that, in certain situations, count pseudoholomorphic curves meeting prescribed conditions in a given symplectic manifold.The GW invariants may be packaged as a homology or cohomology class in an appropriate space, or as the … In mathematics, specifically in topology and geometry, a pseudoholomorphic curve (or J-holomorphic curve) is a smooth map from a Riemann surface into an almost complex manifold that satisfies the Cauchy–Riemann equation. Introduced in 1985 by Mikhail Gromov, pseudoholomorphic curves have since … See more Let $${\displaystyle X}$$ be an almost complex manifold with almost complex structure $${\displaystyle J}$$. Let $${\displaystyle C}$$ be a smooth Riemann surface (also called a complex curve) with complex structure See more In type II string theory, one considers surfaces traced out by strings as they travel along paths in a Calabi–Yau 3-fold. Following the path integral formulation of quantum mechanics, one wishes to compute certain integrals over the space of all such surfaces. … See more Although they can be defined for any almost complex manifold, pseudoholomorphic curves are especially interesting when $${\displaystyle J}$$ interacts with a symplectic form $${\displaystyle \omega }$$. An almost complex structure See more • Holomorphic curve See more WebA topological technique for the construction of solutions of differential equations and inequalities. ICM 1970, Nice, 2, 221–225 (1971) Google Scholar. [Gro 2] Gromov, M.: Pseudo-holomorphic curves in symplectic manifolds, II. Berlin-Heidelberg-New York-Tokyo: Springer (In press) [Gro 3] Gromov, M.: Partial differential relations. brown dog ear infection