## List of Publications - Dmitry Tamarkin

### Thesis

- Another proof of M. Kontsevich's formality
conjecture. Doctoral thesis, Penn. State University, 1999.

### Published Papers

- Topological invariants of
connections over symplectic manifolds,
*Funct. Anal. Appl.* **29** (1995), no. 4, 258-267.

Translated from *Funktsional. Anal. i Prilozh.* **29**
(1995), no. 4, 45-56.
- Quantization of Poisson
structures on
**R**^{2},
*Electron. Res. Announc. Amer. Math. Soc.* **3** (1997),
119-120.
- (with Philip A. Foth) Generalized
topological index,
*K-Theory* **12** (1997), no. 4, 361-369.
- Fedosov connections on Kähler symmetric
manifolds and trace density computation,
* J. Differential
Geom.* **50**
(1998), no. 2, 387-413.
- (with Boris Tsygan) Noncommutative differential
calculus, homotopy BV algebras and formality conjectures,
* Methods
Funct. Anal. Topology* **6** (2000), no. 2, 85-100.
- (with Boris Tsygan) Cyclic formality and
index theorems, EuroConférence Moshé Flato 2000, Part II
(Dijon).
* Lett. Math. Phys.* **56** (2001), no. 2, 85-97.
- Quantization of Lie bialgebras via the
formality of the operad of little disks, Deformation quantization
(Strasbourg, 2001), 203-236,
* IRMA
Lect. Math. Theor. Phys.*, **1**, de Gruyter, Berlin, 2002.
- Deformations of chiral algebras,
*Proceedings of the International Congress of Mathematicians,
Vol. II, (Beijing, 2002),* 105-116, Higher Ed. Press, Beijing,
2002.
- Formality of chain operad of little discs,
*Lett. Math. Phys.* **66** (2003), no. 1-2, 65-72.
- (with Boris Tsygan) The ring of differential
operators on forms in noncommutative calculus,
*Graphs and
patterns in mathematics and theoretical physics*, 105-131,
Proc. Sympos. Pure Math., 73, Amer. Math. Soc., Providence, RI, 2005.
- Quantization of Lie bialgebras via formality of the
operad of little disks, revision and expansion of [8]. To appear,
*Geom. Funct. Anal.*
- What do DG categories form? To appear,
Compositio Math.
- (with V. Dolgushev and B. Tsygan) The homotopy
Gerstenhaber algebra of Hochschild cochains of a regular algebra is
formal. To appear, Journal of Noncommutative Geometry.

### Preprints

- Deformation complex of a d-algabra is a
d+1-algebra.
- Action of the Grothendieck-Teichmueller group
on the operad of Gerstenhaber algebras.
- A formalism for the renormalization procedure.