Tropical intersection theory and gravitational descendants: Intersections of tropical cycles and applications to enumerative geometry

Johannes Rau

ISBN 10: 3838114280 / ISBN 13: 9783838114286

Published by Suedwestdeutscher Verlag fuer Hochschulschriften 2010-03-07, 2010

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Seller Inventory # 6666-IUK-9783838114286

Bibliographic Details

• Title: Tropical intersection theory and gravitational descendants: Intersections of tropical cycles and applications to enumerative geometry
• Publisher: Suedwestdeutscher Verlag fuer Hochschulschriften 2010-03-07
• Publication Date: 2010
• Language: English
• ISBN 10: 3838114280
• ISBN 13: 9783838114286
• Binding: Paperback
• Condition: New

About this title

Synopsis

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.

About the Author

Johannes Rau studied algebraic geometry at TU Kaiserslautern. He received his diploma degree in 2005 and his Ph.D. degree in 2009 under supervision of Andreas Gathmann. In fall 2009, Rau attended the program on tropical geometry at MSRI, Berkeley.