14 citations · 38 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Real Multiplication and noncommutative geometry
Yuri I. Manin
Classical theory of Complex Multiplication (CM) shows that all abelian extensions of a complex quadratic field are generated by the values of appropriate modular functions at t…
Holography principle and arithmetic of algebraic curves
Yuri I. Manin, Matilde Marcolli
According to the holography principle (due to G.`t Hooft, L. Susskind, J. Maldacena, et al.), quantum gravity and string theory on certain manifolds with boundary can be studied in…