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Tropical Intersection Theory and Gravitational Descendants

Tropical Intersection Theory and Gravitational Descendants

Paperback

Geometry

ISBN10: 3838114280
ISBN13: 9783838114286
Publisher: Suedwestdeutscher Verlag Fuer
Published: Jun 28 2010
Pages: 200
Weight: 0.66
Height: 0.46 Width: 6.00 Depth: 9.00
Language: English
In this publication a tropical intersection theory is established with analogue notions and tools as its algebro-geometric counterpart. The developed theory, interesting as a subfield of convex geometry on its own, shows many relations to the intersection theory of toric varieties and other fields. In the second chapter, tropical intersection theory is used to define and study tropical gravitational descendants (i.e. Gromov-Witten invariants with incidence and Psi-class factors). It turns out that many concepts of the classical Gromov-Witten theory such as the WDVV equations can be carried over to the tropical world.

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Geometry