1 citations · 1 across the 6 of their papers we have counts for
7 papers · 1 filter
Symplectic and Poisson geometry of the information geometry's Frobenius manifold
Noemie Combe, Philippe Combe, Hanna Nencka
We prove that the information geometry's Frobenius manifold is a symplectic manifold having Poisson structures. By proving this statement, a bridge is created between the theories…
Algebraic properties of the information geometry's fourth Frobenius manifold
N. C. Combe, P. G. Combe, H. K. Nencka
Recently, it has been shown that the statistical manifold, related to exponential families, has a Frobenius manifold structure and appears as the fourth class of Frobenius manifold…
Pseudo-elliptic geometry of a class of Frobenius-manifolds & Maurer--Cartan structures
N. Combe, Ph. Combe, H. Nencka
The recently discovered fourth class of Frobenius manifolds by Combe--Manin in opened and highlighted new geometric domains to explore. The guiding mantra of this article is to sho…
Birational maps and Nori motives
Noemie C. Combe, Yuri I. Manin, Matilde Marcolli
In this note, we sketch an approach to the problems of equivariant birational geometry developed by M. Kontsevich and Yu. Tschinkel, where Burnside invariants were introduced. We a…
Dessins for Modular Operad and Grothendieck-Teichmuller Group
Noemie C. Combe, Yuri I. Manin, Matilde Marcolli
A part of Grothendieck's program for studying the Galois group of the field of all algebraic numbers emerged from his insight that one should…
F-manifolds and geometry of information
N. C. Combe, Y. I. Manin
The theory of -manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various…