Kontsevich's formula and the WDVV equations in tropical geometry

Details Kontsevich's formula and the WDVV equations in tropical geometry Kontsevich's formula and the WDVV equations in tropical geometry

2005-09-27

arxiv.org/abs/math/0509628v2

Advances in Mathematics 217 (2008), 537-560

Mathematics

Algebraic Geometry

24 pages, minor changes to match the published version

Scientific paper

Using Gromov-Witten theory the numbers of complex plane rational curves of degree d through 3d-1 general given points can be computed recursively with Kontsevich's formula that follows from the so-called WDVV equations. In this paper we establish the same results entirely in the language of tropical geometry. In particular this shows how the concepts of moduli spaces of stable curves and maps, (evaluation and forgetful) morphisms, intersection multiplicities and their invariance under deformations can be carried over to the tropical world.

Affiliated with

Also associated with

No associations

Rating

Kontsevich's formula and the WDVV equations in tropical geometry 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 Kontsevich's formula and the WDVV equations in tropical geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kontsevich's formula and the WDVV equations in tropical geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-224766