F‐Manifolds and geometry of information

DOI10.1112/blms.12411zbMath1454.53075arXiv2004.08808OpenAlexW3105663816MaRDI QIDQ5135356

Yuri I. Manin, Noemie C. Combe

Publication date: 20 November 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08808

zbMATH Keywords

projective spaceprobability distributionsJordan algebrastatistical manifoldsparacomplex structuresformally real algebrasweak Frobenius manifolds

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Global differential geometry (53C99) Statistical aspects of information-theoretic topics (62B10) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Classical or axiomatic geometry and physics (51P05)

Related Items

Special Vinberg cones, invariant admissible cubics and special real manifolds, Poisson geometry of the statistical Frobenius manifold, \(F\)-algebroids and deformation quantization via pre-Lie algebroids, Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$‐manifolds and convergence of oriented associativity potentials, The dually flat structure for singular models, Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials, Frobenius statistical manifolds and geometric invariants

Cites Work

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