14 citations · 38 across the 8 of their papers we have counts for
9 papers · 1 filter
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 $\…
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…
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…
Unfoldings of meromorphic connections and a construction of Frobenius manifolds
Claus Hertling, Yuri Manin
The existence of universal unfoldings of certain germs of meromorphic connections is established. This is used to prove a general construction theorem for Frobenius manifolds. A pa…
Moduli stacks
Yu. I. Manin
This paper is a sequel to the paper by A. Losev and Yu. Manin [LoMa1], in which new moduli stacks of pointed curves were introduced. They classify curves endowed wi…
Multiple zeta-motives and moduli spaces M_{0,n}
A. B. Goncharov, Yu. I. Manin
We give a natural construction of unramified over Z framed mixed Tate motives, whose periods are the multiple zeta values. Namely, for each convergent multiple zeta-value we define…