F‐Manifolds and geometry of information

2020/09/02 by Noémie Combe, Yuri I. Manin · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #advanced mathematical theories #Statistical Mechanics and Entropy

paper · pdf · doi:10.1112/blms.12411

Abstract

The theory of F -manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s.

Cited by

• Open Hurwitz Flat F manifolds
• Hessian geometry and Frobenius manifolds with curvature

Related

• Geometry of Information: classical and quantum aspects
• Multiplication on the tangent bundle
• Geometric Symmetries and Topological Terms in F-theory and Field Theory
• Exploring information geometry: Recent Advances and Connections to Topological Field Theory
• Manifolds with multiplication on the tangent sheaf