Marcos Marino Michael Thaddeus Ravi Vakil Behrend Enumerative Invariants in Algebraic Geometry and String Theory

Enumerative Invariants in Algebraic Geometry and String Theory

von Marcos Marino Michael Thaddeus Ravi Vakil

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 6-11, 2005

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Beschreibung

Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.


Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.


Includes supplementary material: sn.pub/extras

Autor*in

Kai Behrend

Themen in »Enumerative Invariants in Algebraic Geometry and String Theory«

Algebra Cohomology Gromov-Witten invariants enumerative geometry moduli space orbifolds quantum cohomology string theory

Stimmen zu »Enumerative Invariants in Algebraic Geometry and String Theory«

Details

ISBN: 9783540798149
Verlag: Springer Berlin
Erscheinung: 15.08.2008

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