Advances in Algebraic Geometry Motivated by Physics.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Previato, Emma
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2001.
Colección:Contemporary Mathematics.
Temas:
Geometry, Algebraic > Congresses.
Mathematical physics > Congresses.
Géométrie algébrique > Congrès.
Physique mathématique > Congrès.
Geometry, Algebraic
Mathematical physics
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Contents
  • Introduction
  • Chapter I. Enumerative or reality problems
  • Number of automorphisms of principally polarized abelian varieties
  • Rational curves on Grassmannians: Systems theory, reality, and transversality
  • Fundamental groups of line arrangements: Enumerative aspects
  • 1. Introduction
  • 2. Fundamental groups and Alexander matrices
  • 3. Resonance varieties and characteristic varieties
  • 4. Homology of finite-index subgroups and torsion points on varieties
  • 5. Congruence covers and polynomial periodicity
  • 6. Hirzebruch covering surfaces
  • 7. Counting finite-index subgroups8. Lower central series quotients and Chen groups
  • 9. Guide to examples
  • 10. Examples
  • References
  • Chapter II. Variational and moduli problems
  • The formula 12 = 10 + 2 x 1 and its generalizations: Counting rational curves on F2
  • Stable maps and Hurwitz schemes in mixed characteristics
  • On modular properties of odd theta-characteristics
  • Asymptotic Hodge theory and quantum products
  • On rational curves in n-space with given normal bundle
  • A tool for stable reduction of curves on surfaces
  • 1. Introduction
  • 2. Definition and result3. Motivation and examples
  • 4. Proof of Lemma 2.4.1
  • References
  • Chapter III. Mirror symmetry and Gromov-Witten invariants
  • Virtual fundamental classes of zero loci
  • Gravitational descendants and the moduli space of higher spin curves
  • Homological mirror symmetry in dimension one
  • The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map
  • 1. A brief review of semiample divisors in toric varieties.
  • 2. The Hodge structure of semiample nondegenerate hypersurfaces.
  • 3. The Picard group of semiample hypersurfaces.4. The B-model correlation functions.
  • 5. A generalization of the monomial-divisor mirror map.
  • References
  • Algebraic construction of Witten's top Chern class
  • Symmetries of Gromov-Witten invariants
  • Gauge theory techniques in quantum cohomology
  • Gromov-Witten invariants of flag manifolds and products of conjugacy classes
  • Appendix
  • Appendix: The Lowell meeting

Ejemplares similares