papers
Publications (37)
math.QA2007
Koszul duality in deformation quantization, I
Boris Shoikhet
math.CT2017
On the tensor product of linear sites and Grothendieck categories
Wendy Lowen, Julia Ramos González, Boris Shoikhet
math.CT2010
Hopf algebras, tetramodules, and n-fold monoidal categories
Boris Shoikhet
math.KT2007
Kontsevich formality and PBW algebras
Boris Shoikhet
math.KT2019
A Quillen model structure on the category of Kontsevich-Soibelman weakly unital dg categories
Piergiorgio Panero, Boris Shoikhet
math.CT2011
A bialgebra axiom and the Dold-Kan correspondence
Boris Shoikhet
math.CT2018
On the twisted tensor product of small dg categories
Boris Shoikhet
math.QA2005
Hochschild cohomology of the Weyl algebra and traces in deformation quantization
Boris Feigin, Giovanni Felder, Boris Shoikhet
math.QA2004
Riemann-Roch-Hirzebruch theorem and Topological Quantum Mechanics
Boris Feigin, Andrey Losev, Boris Shoikhet
math.QA1998
Lifting formulas II
Boris Shoikhet
math.QA2003
An explicit deformation theory of (co)associative bialgebras
Boris Shoikhet
math.QA2003
A concept of $\frac23$PROP and deformation theory of (co)associative bialgebras
Boris Shoikhet
math.QA1998
On the Duflo formula for $L_\infty$-algebras and Q-manifolds
Boris Shoikhet
math.QA2003
Tsygan formality and Duflo formula
Boris Shoikhet
q-alg1997
Cohomology of the Lie algebras of differential operators: lifting formulas
Boris Shoikhet
math.QA2000
Vanishing of the Kontsevich integrals of the wheels
Boris Shoikhet
math.QA1999
Gerstenhaber bracket on double Hochschild complex and deformation theory
Boris Shoikhet
math.KT2007
An explicit construction of the Quillen homotopical category of dg Lie algebras
Boris Shoikhet
math.QA2003
The CROCs, non-commutative deformations, and (co)associative bialgebras
Boris Shoikhet
math.QA2004
An explicit formula for the deformation quantization of Lie bialgebras
Boris Shoikhet
math.QA2000
Deformation quantization with traces and vanishing of the wheels
Boris Feigin, Boris Shoikhet
math.QA2017
Graded Leinster monoids and generalized Deligne conjecture for 1-monoidal abelian categories
Boris Shoikhet
math.QA2013
The PBW property for associative algebras as an integrability condition
Boris Shoikhet
math.QA2000
Deformation quantization with traces
Giovanni Felder, Boris Shoikhet
math.QA1999
Integration of the Lifting formulas and the cyclic homology of the algebras of differential operators
Boris Shoikhet
math.CT2012
Tetramodules over a bialgebra form a 2-fold monoidal category
Boris Shoikhet
math.QA2009
Koszul duality in deformation quantization and Tamarkin's approach to Kontsevich formality
Boris Shoikhet
math.QA1999
On the cyclic Formality conjecture
Boris Shoikhet
q-alg1997
Representations of the Lie algebra gl(infinity)^ and ``reciprocity formula'' for Clebsch-Gordan coefficients
Boris Shoikhet
math.QA1999
On the Kontsevich and the Campbell-Baker-Hausdorff deformation quantizations of a linear Poisson structure
Boris Shoikhet
math.QA2000
A proof of the Tsygan formality conjecture for chains
Boris Shoikhet
math.QA2017
An $L_\infty$ algebra structure on polyvector fields
Boris Shoikhet
math.KT2012
Monoidal cofibrant resolutions of dg algebras
Boris Shoikhet
math.QA1998
On the $A_\infty$-Formality conjecture
Boris Shoikhet
math.KT2016
On the Evrard fibrant replacement of a functor
Boris Shoikhet
math.QA2018
On higher structure on the operadic deformation complexes ${Def}(e_n\to \mathcal{P})$
Boris Shoikhet
math.QA2006
On $[A,A]/[A,[A,A]]$ and on a $W_n$-action on the consecutive commutators of free associative algebra
Boris Feigin, Boris Shoikhet