: Mathématiques: Gromov-Witten invariant

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mathematical physics > string theory > Gromov-Witten invariant

Gromov-Witten invariant

In 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 deformed cup product of quantum cohomology. These invariants have been used to distinguish symplectic manifolds that were previously indistinguishable. They also play a crucial role in closed type IIA string theory. They are named after Mikhail Gromov and Edward Witten.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Gromov%E2%80%93Witten_invariant)

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