Semisimple Frobenius (super)manifolds and quantum cohomology of \(\mathbb{P}^r\)

DOI10.12775/TMNA.1997.006zbMath0908.53011arXivalg-geom/9702014MaRDI QIDQ1380897

Sergey A. Merkulov, Yuri I. Manin

Publication date: 18 March 1999

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9702014

zbMATH Keywords

quantum cohomologyFrobenius manifoldsNeveu-Schwarz superalgebraFrobenius supermanifoldssupersymmetric Schlesinger equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantization in field theory; cohomological methods (81T70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Supermanifolds and graded manifolds (58A50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (4)

Dubrovin's duality for \(F\)-manifolds with eventual identities ⋮ Associativity relations in quantum cohomology ⋮ Odd supersymmetrization of elliptic R-matrices ⋮ THE TENSOR PRODUCT IN THE THEORY OF FROBENNIUS MANIFOLDS

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