Zobrazeno 1 - 10
of 195
pro vyhledávání: '"Kapranov, M."'
If E is a C^\infty complex vector bundle on an oriented C^\infty manifold \Sigma, diffeomorphic to a circle, then the space of sections of E has a canonical polarization in the sense of Pressley and Segal and so one has its determinantal gerbe with l
Externí odkaz:
http://arxiv.org/abs/math/0612410
Autor:
Kapranov, M.
We argue that there should exist a "noncommutative Fourier transform" which should identify functions of noncommutative variables (say, of matrices of indeterminate size) and ordinary functions or measures on the space of paths. Some examples are con
Externí odkaz:
http://arxiv.org/abs/math/0612411
Autor:
Kapranov, M., Vasserot, E.
We relate the gerbe of sheaves of chiral differential operators (CDO) on a algebraic variety X, studied by Gorbounov, Malikov and Schechtman, to the determinantal gerbe of the formal loop space LX introduced in our earlier paper. The liens of the two
Externí odkaz:
http://arxiv.org/abs/math/0612371
Autor:
Kapranov, M., Vasserot, E.
To any algebraic variety X and and closed 2-form \omega on X, we associate the "symplectic action functional" T(\omega) which is a function on the formal loop space LX introduced by the authors in math.AG/0107143. The correspondence \omega --> T(\ome
Externí odkaz:
http://arxiv.org/abs/math/0510476
Autor:
Kapranov, M., Vasserot, E.
If V is a bundle of Tate vector spaces over a base B, its determinantal gerbe has a class C_1(V) in the second cohomology group of the sheaf of invertible functions which can be seen as the Deligne cohomology H^3(B, Z(2)). An example of such a "Tate
Externí odkaz:
http://arxiv.org/abs/math/0509646
Autor:
Kapranov, M., Vasserot, E.
We introduce an algebro-geometric version of the free loop space for any scheme X of finite type. This is an ind-scheme of ind-infinite type containing the scheme of formal germs of curves on X. Then, we give a direct geometric construction, for smoo
Externí odkaz:
http://arxiv.org/abs/math/0107143
Autor:
Kapranov, M.
We develop a theory of measures, differential forms and Fourier tramsforms on some infinite-dimensional real vector spaces by generalizing the following two constructions: (a) The construction of the semiinfinite wedge power of a Tate vector space V.
Externí odkaz:
http://arxiv.org/abs/math/0107089
Autor:
Ciocan-Fontanine, I., Kapranov, M.
We construct the derived version of the Hilbert scheme parametrizing subschemes in a given projective scheme X with given Hilbert polynomial h. This is a dg-manifold (smooth dg-scheme) RHilb_h(X) which carries a natural family of commutative (up to h
Externí odkaz:
http://arxiv.org/abs/math/0005155
Autor:
Kapranov, M.
We establish a relation between the generating functions appearing in the S-duality conjecture of Vafa and Witten and geometric Eisenstein series for Kac-Moody groups. For a pair consisting of a surface and a curve on it, we consider a refined geomet
Externí odkaz:
http://arxiv.org/abs/math/0001005
Autor:
Franecki, J., Kapranov, M.
For an irreducible subvariety Z in an algebraic group G we define a nonnegative integer gdeg(Z) as the degree, in a certain sense, of the Gauss map of Z. It can be regarded as a substitution for the intersection index of the conormal bundle to Z with
Externí odkaz:
http://arxiv.org/abs/math/9909088