2 citations · 3 across the 4 of their papers we have counts for
4 papers
Riemann-Roch for real varieties
P. Bressler, M. Kapranov, B. Tsygan +1
If E is a C^\infty complex vector bundle on an oriented C^\infty manifold Σ, diffeomorphic to a circle, then the space of sections of E has a canonical polarization in the sense of…
Noncommutative geometry and path integrals
M. Kapranov
We argue that there should exist a "noncommutative Fourier transform" which should identify functions of noncommutative variables (say, of matrices of indeterminate size) and ordin…
Formal loops III: Factorizing functions and the Radon transform
M. Kapranov, E. Vasserot
To any algebraic variety X and and closed 2-form ωon X, we associate the "symplectic action functional" T(ω) which is a function on the formal loop space LX introduced by the autho…
Vertex algebras and the formal loop space
M. Kapranov, E. Vasserot
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 o…