Boris Tsygan's Homepage

B4 Lunt Hall
2033 North Sheridan Avenue, Evanston IL 60208

My Current CV

Noncommutative differential calculus, homotopy BV algebras and formality conjectures, with D. Tamarkin math.KT/0002116, Metods of Functional Analysis and topology, 1, 2001
Local formula for the index of a Fourier Integral Operator, with E. Leichtnam and R. Nest math.DG/0004022
Riemann-Roch Theorems via deformation quantization I, with P. Bressler and R. Nest math.AG/9904121, to appear in Adv. Math.
Riemann-Roch Theorems via deformation quantization II, with Paul Bressler and R. Nest, math.KT/0002115, , to appear in Adv. Math.
Formality conjectures for chains, math.QA/9904132, AMS Translations, 194, 2,261-274
Deformations of symplectic Lie algebroids, deformations of holomorphic symplectic structures, and index theorems, with R. Nest math.QA/9906020, to appear in Asian Mathematical Journal.
Fukaya type categories for associative algebras, with R. Nest math.QA/9803140, Deformations and Quantizations, Ascona, 1996, Kluwer Publ. 1997
On the cohomology ring of an algebra,with R. Nest math.QA/9803132, Advances in Geometry, Progress in Mathematics, 172, Birkhauser, 1997, 337-370