4 papers
math.QA2003
A formalism for the renormalization procedure
Dmitry E. Tamarkin
We describe a formalism underlying the renormalization procedure and Batalin-Vilkoviski formalism. In the framework of this formalism, we give a mathematical definition of OPE-alge…
math.QA2000
Deformation complex of a d-algebra is a (d+1)-algebra
Dmitry E. Tamarkin
We prove thst the deformation complex of a d-algebra (shifted by 1-d) carries a natural structure of (d+1)-algebra. This is a purely algebraic version of a similkar theorem of Kont…
math.QA1998
Formality of Chain Operad of Small Squares
Dmitry E. Tamarkin
We prove that the chain operad of small squares is formal. This fact clarifies situation with the proof of M. Kontsevich formality theorem in the paper of the author math.QA/980302…
math.QA1998
Another proof of M. Kontsevich formality theorem
Dmitry E. Tamarkin
The paper contains an alternative proof of M. Kontsevich Formality Theorem.