Virtual moduli cycles and Gromov-Witten invariants of noncompact symplectic manifolds

Details Virtual moduli cycles and Gromov-Witten invariants of noncompact symplectic manifolds Virtual moduli cycles and Gromov-Witten invariants of noncompact symplectic manifolds

2003-06-17

arxiv.org/abs/math/0306255v4

Commun. Math. Phys. 261(2006), 43-131

Mathematics

Differential Geometry

Final version

Scientific paper

10.1007/s00220-005-1393-7

This paper constructs and studies the Gromov-Witten invariants and their properties for noncompact geometrically bounded symplectic manifolds. Two localization formulas for GW-invariants are also proposed and proved. As applications we get solutions of the generalized string equation and dilation equation and their variants. The more solutions of WDVV equation and quantum products on cohomology groups are also obtained for the symplectic manifolds with finitely dimensional cohomology groups. To realize these purposes we further develop the language introduced by Liu-Tian to describe the virtual moduli cycle (defined by Liu-Tian, Fukaya-Ono, Li-Tian, Ruan and Siebert).

Affiliated with

Also associated with

No associations

Rating

Virtual moduli cycles and Gromov-Witten invariants of noncompact symplectic manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Virtual moduli cycles and Gromov-Witten invariants of noncompact symplectic manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Virtual moduli cycles and Gromov-Witten invariants of noncompact symplectic manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-265517