Quantum SUSY operads

Autor: Combe, N. C., Manin, Yu. I., Marcolli, M.

In a recent paper, we described a lifting of coordinate rings of groups, loops, quantum groups, etc. to the categoric setup of operads. In most examples of that paper, these rings are non--commutative. Quantum physics of the XX--th century added one

Externí odkaz: http://arxiv.org/abs/2208.11629

Combinatorial cubic surfaces and reconstruction theorems

Autor: Manin, Yu. I.

This note contains a solution to the following problem: reconstruct the definition field and the equation of a projective cubic surface, using only combinatorial information about the set of its rational points. This information is encoded in two rel

Externí odkaz: http://arxiv.org/abs/1001.0223

Remarks on modular symbols for Maass wave forms

Autor: Manin, Yu I.

In this paper I introduce modular symbols for Maass wave cusp forms. They appear in the guise of finitely additive functions on the Boolean algebra generated by intervals with non--positive rational ends, with values in analytic functions (pseudo--me

Externí odkaz: http://arxiv.org/abs/0803.3270

Generalized operads and their inner cohomomorphisms

Autor: Borisov, D., Manin, Yu. I.

Publikováno v: Geometry and Dynamics of Groups and spaces (In memory of Aleksander Reznikov). Ed. by M. Kapranov et al. Progress in Math., vol. 265. Birkhauser, Boston, 2008, pp. 247-308

In this paper we introduce a notion of {\it generalized operad} containing as special cases various kinds of operad--like objects: ordinary, cyclic, modular, properads etc. We then construct inner cohomomorphism objects in their categories (and categ

Externí odkaz: http://arxiv.org/abs/math/0609748

Course in Mathematical Logic. [electronic resource]

Autor: Manin, Yu. I.

Externí odkaz: Kolekce e-knih KNAV Registrovani uzivatele: plny text online 5 minut, dalsi pristup na vyzadani. Registered users: full text online 5 minutes, further access on requests.