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Helix Structures in Quantum Cohomology of Fano Varieties

This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM). This conjecture asserts the equivalence, for a Fano variety, between the semisimplicity condition of its quantum cohomology and t...

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Bibliografische gegevens
Hoofdauteurs: Cotti, Giordano (Auteur), Dubrovin, Boris A. (Auteur), Guzzetti, Davide (Auteur)
Coauteur: SpringerLink (Online service)
Formaat: Elektronisch E-boek
Taal:Engels
Gepubliceerd in: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Editie:1st ed. 2024.
Reeks:Lecture Notes in Mathematics, 2356
Onderwerpen:
Algebraic geometry.
Mathematical physics.
Differential equations.
Geometry, Differential.
Algebra, Homological.
Algebraic Geometry.
Mathematical Physics.
Differential Equations.
Differential Geometry.
Category Theory, Homological Algebra.
Online toegang:https://doi.org/10.1007/978-3-031-69067-9
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Inhoudsopgave:
  • - Introduction
  • Gromov–Witten Theory and Quantum Cohomology
  • Helix Theory in Triangulated Categories
  • Non-Symmetric Orthogonal Geometry of Mukai Lattices
  • The Main Conjecture
  • Proof of the Main Conjecture for Projective Spaces
  • Proof of the Main Conjecture for Grassmannians.

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