عنوان

Advances in algebraic geometry motivated by physics :AMS Special Session on Enumerative Geometry in Physics, April 1-2, 2000, University of Massachusetts, Lowell, Massachusetts

Advances in algebraic geometry motivated by physics :AMS Special Session on Enumerative Geometry in Physics, April 1-2, 2000, University of Massachusetts, Lowell, Massachusetts

Providence, R.I.

American Mathematical Society

c2001

xi, 294 p. : ill. ; 26 cm.

Contemporary mathematics ;672

Includes bibliographical references

Emma Previato, editor

Machine generated contents note: Chapter I. Enumerative or reality problems Number of automorphisms of principally polarized abelian varieties -- SANDOR J. KOVACS Rational curves on Grassmannians: Systems theory, reality, and -- transversality -- FRANK SOTTILE Fundamental groups of line arrangements: Enumerative aspects -- ALEXANDER I. SUCIU Chapter II. Variational and moduli problems The formula 21 = 01 + 2 x 1 and its generalizations: Counting rational -- curves on F2 -- DAN ABRAMOVICH AND AARON BERTRAM Stable maps and Hurwitz schemes in mixed characteristics -- DAN ABRAMOVICH AND FRANS OORT On modular properties of odd theta-characteristics -- LUCIA CAPORASO Asymptotic Hodge theory and quantum products -- EDUARDO CATTANI AND JAVIER FERNANDEZ On rational curves in n-space with given normal bundle -- HERBERT CLEMENS A tool for stable reduction of curves on surfaces -- RAVI VAKIL Chapter III. Mirror symmetry and Gromov-Witten invariants Virtual fundamental classes of zero loci -- DAVID A. Cox, SHELDON KATZ, AND YUAN-PIN LEE Gravitational descendants and the moduli space of higher spin curves -- TYLER J. JARVIS, TAKASHI KIMURA, AND ARKADY VAINTROB vii Homological mirror symmetry in dimension one -- BERND KREUf3LER 971 The Hodge structure of semiample hypersurfaces and a generalization of the -- monomial-divisor mirror map -- ANVAR R. MAVLYUTOV 991 Algebraic construction of Witten's top Chern class -- ALEXANDER POLISHCHUK AND ARKADY VAINTROB 922 Symmetries of Gromov-Witten invariants -- ALEXANDER POSTNIKOV 152 Gauge theory techniques in quantum cohomology -- STEVEN ROSENBERG AND MIHAELA VAJIAC 952 Gromov-Witten invariants of flag manifolds and products of conjugacy -- classes -- C. WOODWARD 972 Appendix Appendix: The Lowell meeting 982

Congresses ، Geometry, Algebraic

Congresses ، Mathematical physics

AU

AU Previato, Emma

TI

SE

SE Contemporary mathematics )American Mathematical Society( ;

AMS Special Session on Enumerative Geometry in Physics)2000 :University of Massachusetts(