166 citations · 337 across the 14 of their papers we have counts for
14 papers
Microlocal Category
Dmitry Tamarkin
Given a compact symplectic manifold whose symplectic form has integer periods, one associates to it a dg category based on the microlocal analysis according to Kashiwara-Schapira
Microlocal properties of sheaves and complex WKB
Alexander Getmanenko, Dmitry Tamarkin
Kashiwara-Schapira style sheaf theory is used to justify analytic continuability of solutions of a Laplace transformed Schroedinger equation with a small parameter. This partially…
Proof of Swiss Cheese Version of Deligne's Conjecture
Vasiliy Dolgushev, Dmitry Tamarkin, Boris Tsygan
For an associative algebra A we consider the pair "the Hochschild cochain complex C*(A,A) and the algebra A". There is a natural 2-colored operad which acts on this pair. We show t…
Noncommutative calculus and the Gauss-Manin connection
V. Dolgushev, D. Tamarkin, B. Tsygan
After an overview of noncommutative differential calculus, we construct parts of it explicitly and explain why this construction agrees with a fuller version obtained from the theo…
Formality theorems for Hochschild complexes and their applications
V. A. Dolgushev, D. E. Tamarkin, B. L. Tsygan
We give a popular introduction to formality theorems for Hochschild complexes and their applications. We review some of the recent results and prove that the truncated Hochschild c…
Microlocal condition for non-displaceablility
Dmitry Tamarkin
We formulate a sufficient condition for non-displaceability (by Hamiltonian symplectomorphisms which are identity outside of a compact) of a pair of subsets in a cotangent bundle.…