FROBENIUS MANIFOLDS, QUANTUM COHOMOLOGY, AND MODULI SPACES (American Mathematical Society Colloquium Publications 47)

By Peter E. Newstead. 2000

101 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/ed164353b4805b2a52bda368033290d7aba798f1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. V. Golyshev
2. K. Wysocki
3. E. Zehnder
4. Helmut Hofer
5. H. Iritani
6. Y.-P. Lee
7. Yuri I. Manin
8. Alexander Givental

In Management Science and Operations Research

1. K. Wysocki
2. E. Zehnder
3. Helmut Hofer
4. Yuri I. Manin
5. H. Iritani
6. Alexander Givental
7. Y.-P. Lee
8. C. Teleman

Citations in the corpus

• Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures (2014, background): “The extension is given by the formula: ∇̂α = ∂α − (α⋆τ )(λ− E⋆τ )μ ∇̂ ∂ ∂λ = ∂ ∂λ + (λ− E⋆τ )μ where α ∈ H (F ) and (τ, λ) ∈ B × Cλ, see [54].”
• BCOV theory via Givental group action on cohomological field theories (2008, unknown): “Consider an arbitrary graph (we allow graphs to have leaves and we require vertices to be at least of degree 3, the definition of graph that we use can be found in [33]).”
• An update on semisimple quantum cohomology and F-manifolds (2008, background): “[13, 14]) and (ui) are (local) Dubrovin’s canonical coordinates, that is, ei := ∂/∂ui form a complete system of pairwise orthogonal idempotents in H∗ quant(V ).”
• Quantum $K$-theory, I: Foundations (2001, background): “(QK(X), (Gij)) is an F -manifold as defined in [27] Sect.”
• GROMOV - WITTEN INVARIANTS AND QUANTIZATION OF QUADRATIC HAMILTONIANS (2001, background): “We refer to [6, 29, 18, 19, 21] for discussions of the following definition and derivations of the properties reviewed below.”
• Convergence of quantum cohomology by quantum Lefschetz (2005, background): “(See [24], Part I, section 3 for the definition of semisimplicity.”
• A general Fredholm theory III: Fredholm functors and polyfolds (2008, methodology): “The various maps ‰ A;g;k are interrelated by the so-called composition law, which also forms the basis for the Witten–Dijkgraf–Verlinde–Verlinde equation for which we refer to Manin [25], McDuff and Salamon [27] and Tian [32] and we would like to mention that the composition law follows readily from”