Authors:
Editors:
Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1947)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
- Algebra
- Cohomology
- Gromov-Witten invariants
- enumerative geometry
- moduli space
- orbifolds
- quantum cohomology
- string theory
Authors, Editors and Affiliations
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Department of Mathematics, University of British Columbia, Vancouver, Canada
Kai Behrend
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Department of Mathematics “Guido Castelnuovo”, University of Rome “La Sapienza”, Italy
Marco Manetti
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Department of Mathematics, Brown University, Providence, USA
Dan Abramovich
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Department of Physics Theory Division, University of Geneva, Geneva, Switzerland
Marcos Mariño
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Department of Mathematics, Columbia University, New York, USA
Michael Thaddeus
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Department of Mathematics, Stanford University, Stanford, USA
Ravi Vakil
About the editors
Dan Abramovich is a Professor of Mathematics at Brown University, working on Birational Geometry and Moduli Spaces.
Marco Manetti is a Professor of Mathematics at Sapienza University of Rome, working on Algebraic Geometry and Deformation Theory.
Bibliographic Information
Book Title: Enumerative Invariants in Algebraic Geometry and String Theory
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 6-11, 2005
Authors: Dan Abramovich, Marcos Mariño, Michael Thaddeus, Ravi Vakil
Editors: Kai Behrend, Marco Manetti
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-79814-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-79813-2Published: 22 August 2008
eBook ISBN: 978-3-540-79814-9Published: 15 August 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 210
Number of Illustrations: 30 b/w illustrations
Topics: Algebra, Algebraic Geometry, Differential Geometry, Quantum Physics