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- catalog abstract ""Our knowledge of objects of algebraic geometry such as moduli of curves, (real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants." "These are some of the themes of this refereed collection of papers, which grew out of the special session, "Enumerative Geometry in Physics," held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend." "The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available."--Jacket.".
- catalog contributor b12142946.
- catalog contributor b12142947.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description ""Our knowledge of objects of algebraic geometry such as moduli of curves, (real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants." "These are some of the themes of this refereed collection of papers, which grew out of the special session, "Enumerative Geometry in Physics," held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend." "The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available."--Jacket.".
- catalog description "Includes bibliographical references.".
- catalog description "Number of automorphisms of principally polarized abelian varieties / Sándor J. Kovács -- Rational curves on Grassmannians : systems theory, reality, and transversality / Frank Sottile -- Fundamental groups of line arrangements : enumerative aspects / Alexander I. Suciu -- The formula 12 = 10 + 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 -- 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 -- Homological mirror symmetry in dimension one / Bernd Kreussler -- The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map / Anvar R. Mavlyutov -- Algebraic construction of Witten's top Chern class / Alexander Polishchuk and Arkady Vaintrob -- Symmetries of Gromov-Witten invariants / Alexander Postnikov -- Gauge theory techniques in quantum cohomology / Steven Rosenberg and Mihaela Vajiac -- Gromov-Witten invariants of flag manifolds and products of conjugacy classes / C. Woodward.".
- catalog extent "xi, 294 p. :".
- catalog identifier "082182810X (alk. paper)".
- catalog isPartOf "Contemporary mathematics (American Mathematical Society) ; v. 276.".
- catalog isPartOf "Contemporary mathematics, 0271-4132 ; 276".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "Providence, R.I. : American Mathematical Society,".
- catalog subject "530.15/635 21".
- catalog subject "Geometry, Algebraic Congresses.".
- catalog subject "Mathematical physics Congresses.".
- catalog subject "QC20.7.A37 A47 2001".
- catalog tableOfContents "Number of automorphisms of principally polarized abelian varieties / Sándor J. Kovács -- Rational curves on Grassmannians : systems theory, reality, and transversality / Frank Sottile -- Fundamental groups of line arrangements : enumerative aspects / Alexander I. Suciu -- The formula 12 = 10 + 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 -- 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 -- Homological mirror symmetry in dimension one / Bernd Kreussler -- The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map / Anvar R. Mavlyutov -- Algebraic construction of Witten's top Chern class / Alexander Polishchuk and Arkady Vaintrob -- Symmetries of Gromov-Witten invariants / Alexander Postnikov -- Gauge theory techniques in quantum cohomology / Steven Rosenberg and Mihaela Vajiac -- Gromov-Witten invariants of flag manifolds and products of conjugacy classes / C. Woodward.".
- catalog title "Advances in algebraic geometry motivated by physics : AMS Special Session Enumerative Geometry in Physics, April 1-2, 2000, University of Massachusetts, Lowell, Massachusetts / Emma Previato, editor.".
- catalog type "Conference proceedings. fast".
- catalog type "Lowell (Mass., 2000) swd".
- catalog type "text".