14 citations · 38 across the 8 of their papers we have counts for
15 papers
Manifolds with multiplication on the tangent sheaf
Yu. I. Manin
This is a survey of the current state of the theory of --(super)manifolds , first defined in [HeMa] and further developed in [He], [Ma2], [Me1]. Here is an $\…
Iterated integrals of modular forms and noncommutative modular symbols
Yu. I. Manin
The main goal of this paper is to study properties of the iterated integrals of modular forms in the upper halfplane, eventually multiplied by , along geodesics connecting…
The notion of dimension in geometry and algebra
Yuri I. Manin
This talk reviews some mathematical and physical ideas related to the notion of dimension. After a brief historical introduction, various modern constructions from fractal geometry…
F-manifolds with flat structure and Dubrovin's duality
Yuri I. Manin
This work continues the study of --manifolds , first defined by Hertling and Manin and investigated in [He]. The notion of a compatible flat structure is int…
Functional equations for quantum theta functions
Yu. I. Manin
Quantum theta functions were introduced by the author in [Ma1]. They are certain elements in the function rings of quantum tori. By definition, they satisfy a version of the classi…
Extended modular operad
A. Losev, Yu. Manin
This paper is a sequel to [LoMa] where moduli spaces of painted stable curves were introduced and studied. We define the extended modular operad of genus zero, algebras over this o…