specifically in symplectic topology and algebraic geometry, Gromov–Witten (GW) invariants are rational numbers that, in certain situations, count pseudoholomorphic...

Witten invariant may refer to: Gromov–Witten invariant Seiberg–Witten invariant Quantum invariant This disambiguation page lists mathematics articles...

interpretation of the Jones invariants of knots as Feynman integrals. He is considered the practical founder of M-theory. Witten was born on August 26, 1951...

2005, Chapter 10). For the relation to symplectic manifolds and Gromov–Witten invariants see (Taubes 2000). For the early history see (Jackson 1995). The...

Mikhael Leonidovich Gromov (also Mikhail Gromov, Michael Gromov or Misha Gromov; Russian: Михаи́л Леони́дович Гро́мов; born 23 December 1943) is a Russian-French...

In mathematics, the Gromov invariant of Clifford Taubes counts embedded (possibly disconnected) pseudoholomorphic curves in a symplectic 4-manifold, where...

topological invariants along with some new ideas: Casson invariant, Donaldson invariant, Gromov's theory, Floer homology and Jones–Witten theory. In this...

may be seen as an extension of Taubes's Gromov invariant, known to be equivalent to the Seiberg–Witten invariant, from closed symplectic 4-manifolds to...

and Richard Thomas (1998). Donaldson–Thomas invariants have close connections to Gromov–Witten invariants of algebraic three-folds and the theory of stable...

of topological recursion was to Gromov–Witten invariants. Marino and BKMP conjectured that Gromov–Witten invariants of a toric Calabi–Yau 3-fold X {\displaystyle...

such as string theory, Chern–Simons theory, knot theory, and Gromov–Witten invariants. Chern classes were introduced by Shiing-Shen Chern (1946). Chern...

1090/S0894-0347-1992-1126118-X. with Kaoru Ono Arnold conjecture and Gromov-Witten invariant, Topology, 38, 1999, pp. 933–1048 with Y. Oh, H. Ohta, K. Ono Lagrangian...

Seiberg–Witten invariant is equal to an invariant which enumerates certain pseudoholomorphic curves and is now known as Taubes's Gromov invariant. This...

given symplectic manifold. This moduli space is the essence of the Gromov–Witten invariants, which find application in enumerative geometry and type IIA string...

symplectic topology, including a class of symplectic invariants now known as Gromov–Witten invariants. Later, using the pseudoholomorphic curve technique...

known for contributions to the mathematical fields of Kähler geometry, Gromov-Witten theory, and geometric analysis. As of 2020, he is the Vice Chairman...

Yau and Nadis, p. 171 Givental, Alexander (1996). "Equivariant Gromov-Witten invariants". International Mathematics Research Notices. 1996 (13): 613–663...

and Ravi Vakil. Eric Katz (2005-07-15). "Formalism for Relative Gromov-Witten Invariants". Retrieved May 24, 2019. "Combinatorics and more". 14 August 2015...

if they are connected via one or more pseudoholomorphic curves. Gromov–Witten invariants, which count these curves, appear as coefficients in expansions...

programming language Global warming, the ongoing climatic event Gromov–Witten invariant, in symplectic topology Grothendieck–Witt ring, of a mathematical...

-compatible). This Gromov compactness theorem, now greatly generalized using stable maps, makes possible the definition of Gromov–Witten invariants, which count...

invariant HOMFLY polynomial K-theory invariants Atiyah–Patodi–Singer eta invariant Link invariant Casson invariant Seiberg–Witten invariants Gromov–Witten...

topological string theory are closely related to Chern–Simons theory, Gromov–Witten invariants, mirror symmetry, geometric Langlands Program, and many other topics...

derived the following formula which relates the Gromov–Witten invariants and the Gopakumar-Vafa invariants. ∑ g = 0 ∞   ∑ β ∈ H 2 ( M , Z ) GW ( g , β )...

formulated well-known conjectures relating the Gromov–Witten invariants and Donaldson–Thomas invariants of threefolds. In 2006, at the 25th International...

Virasoro conjecture: a certain generating function encoding the Gromov–Witten invariants of a smooth projective variety is fixed by an action of half of...

the Mathematics Genealogy Project Costello, Kevin Joseph (2003). Gromov-Witten invariants and symmetric products. lib.cam.ac.uk (PhD thesis). University...

Japanese mathematicians Kenji Fukaya and Kaoru Ono in the study of Gromov–Witten invariants and Floer homology in symplectic geometry, and were named after...

2007-01-04. and Footnote 17 in Givental, Alexander (1998). "Elliptic Gromov–Witten invariants and the generalized mirror conjecture". In Saito, M.-H.; Shimizu...

quantities are expressed in terms of infinitely many numbers called Gromov–Witten invariants, which are extremely difficult to compute. In the B-model, the...