Tropical intersection theory and gravitational descendants

Intersections of tropical cycles and applications to enumerative geometry

Johannes Rau (Autor)

Buch | Softcover

200 Seiten

2010
Südwestdeutscher Verlag für Hochschulschriften
978-3-8381-1428-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	21.10.2015
Sprache	englisch
Gewicht	276 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	3-8381-1428-0 / 3838114280
ISBN-13	978-3-8381-1428-6 / 9783838114286
Zustand	Neuware