101 citations · 389 across the 22 of their papers we have counts for
8 papers · 1 filter
Cyclotomy and analytic geometry over F_1
Yuri I. Manin
Geometry over non--existent "field with one element" conceived by Jacques Tits [Ti] half a century ago recently found an incarnation, in at least two related but different gu…
Stability Conditions, Wall-crossing and weighted Gromov-Witten Invariants
Arend Bayer, Yuri I. Manin
We extend B. Hassett's theory of weighted stable pointed curves ([Has03]) to weighted stable maps. The space of stability conditions is described explicitly, and the wall-crossing…
Georg Cantor and his heritage
Yuri I. Manin
Talk at the meeting of the German Mathematical Society and the Cantor Medal Award Ceremony
(Semi)simple exercises in quantum cohomology
Arend Bayer, Yuri Manin
The paper is dedicated to the study of algebraic manifolds whose quantum cohomology or a part of it is a semisimple Frobenius manifold. Theorem 1.8.1 says, roughly speaking, that t…
Theta functions, quantum tori and Heisenberg groups
Yuri I. Manin
A linear algebraic group is represented by the linear space of its algebraic functions endowed with multiplication and comultiplication which turn it into a Hopf algebra…
New moduli spaces of pointed curves and pencils of flat connections
A. Losev, Yu. Manin
It is well known that formal solutions to the Associativity Equations are the same as cyclic algebras over the homology operad of the moduli spaces of -…