Helix Structures in Quantum Cohomology of Fano Varieties: 2356 (Lecture Notes in Mathematics, 2356) - Image 1

£52.83

Springer Helix Structures in Quantum Cohomology of Fano Varieties: 2356 (Lecture Notes in Mathematics, 2356)

Name: Helix Structures in Quantum Cohomology of Fano Varieties: 2356 (Lecture Notes in Mathematics, 2356)
Brand: Springer
Price: 52.53 GBP
Availability: InStock

Algebra

Price History & Forecast

Last 30 days • 10 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 30 days • 1 price levels

Days at Price

Price Analysis

Most common price: £53 (10 days, 100.0%)

Price range: £53 - £53

Price levels: 1 different prices over 10 days

Description

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 the existence of full exceptional collections in its derived category of coherent sheaves. Additionally, in its quantitative form, the conjecture specifies an explicit relation between the monodromy data of the quantum cohomology, characteristic classes, and exceptional collections. A refined version of the conjecture is introduced, with a particular focus on the central connection matrix, and a precise link is established between this refined conjecture and Γ-conjecture II, as proposed by S. Galkin, V. Golyshev, and H. Iritani. By performing explicit calculations of the monodromy data, the validity of the refined conjecture for all complex Grassmannians G(r,k) is demonstrated. Intended for students and researchers, the book serves as an introduction to quantum cohomology and its isomonodromic approach, along with its algebraic counterpart in the derived category of coherent sheaves.

Product Specifications

Brand: Springer
Format: Paperback
ASIN: 3031690664
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 29 October 2024
Listed Since: 06 July 2024

Barcode

No barcode data available

Springer Helix Structures in Quantum Cohomology of Fano Varieties: 2356 (Lecture Notes in Mathematics, 2356)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Equivariant Poincaré Duality on G-Manifolds: Equivariant Gysin Morphism and Equivariant Euler Classes: 2288 (Lecture Notes in Mathematics, 2288)

Special Values of Automorphic Cohomology Classes (Memoirs of the American Mathematical Society)

Cohomological Invariants in Galois Cohomology (University Lecture Series)

Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces: 35 (Aspects of Mathematics, 35)

The Grassmannian Variety: Geometric and Representation-Theoretic Aspects: 42 (Developments in Mathematics, 42)

Steenrod Squares in Spectral Sequences (Mathematical Surveys & Monographs)

Lectures on K3 Surfaces: 158 (Cambridge Studies in Advanced Mathematics, Series Number 158)

Quasi-projective Moduli for Polarized Manifolds: 30 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 30)

Intersection Homology & Perverse Sheaves: with Applications to Singularities: 281 (Graduate Texts in Mathematics, 281)

Quantum Invariants of Knots and 3-Manifolds (De Gruyter Studies in Mathematics): 18

Etale Homotopy of Simplicial Schemes. (AM-104) (Annals of Mathematics Studies, 104)

Cycles, Transfers, and Motivic Homology Theories. Annals of Mathematics Studies, No. 143

Computational Algebraic Geometry: 58 (London Mathematical Society Student Texts, Series Number 58)

Geometry of Principal Sheaves: 578 (Mathematics and Its Applications, 578)

Methods of Homological Algebra (Springer Monographs in Mathematics)

From Riches to Raags: 3-Manifolds, Right-Angled Artin Groups, and Cubical Geometry (Cbms Regional Conference Series in Mathematics)

Invariants of Homology 3-Spheres: 140 (Encyclopaedia of Mathematical Sciences, 140)

Algebraic Cobordism (Springer Monographs in Mathematics)

The Geometric and Arithmetic Volume of Shimura Varieties of Orthogonal Type (Crm Monograph) (CRM Monograph Series)

A Concise Introduction to Algebraic Varieties (Graduate Studies in Mathematics)

Topics in Cyclic Theory: 97 (London Mathematical Society Student Texts, Series Number 97)

An Extension of Casson's Invariant. (AM-126) (Annals of Mathematics Studies, 126)

Hyperbolic Manifolds and Discrete Groups (Modern Birkhäuser Classics)

Classifying Spaces of Degenerating Polarized Hodge Structures (Annals of Mathematics Studies, 169)