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 R2,
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.