Kontsevich's formula and the WDVV equations in tropical geometry

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dc.creatorGathmann, Andreas
dc.creatorMarkwig, Hannah
dc.date2005-09-27
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:29Z
dc.date.available2026-07-07T10:01:29Z
dc.descriptionUsing 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.
dc.description24 pages, minor changes to match the published version
dc.identifierhttps://arxiv.org/abs/math/0509628
dc.identifierhttp://arxiv.org/abs/math/0509628
dc.identifierAdvances in Mathematics 217 (2008), 537-560
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168646
dc.subjectAlgebraic Geometry
dc.subject14N35, 51M20
dc.titleKontsevich's formula and the WDVV equations in tropical geometry
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