Differential Geometry, Topology, and Mathematical Physics.
Earlier "best results": (1) de Rham theory for supermanifolds, discovery of new "variational" differential and links with Gelfand's general hypergeometric equations and integral geometry; (2) higher derived brackets, with applications to graded manifolds, homological vector fields, and Batalin-Vilkovisky geometry; (3) universal recurrence relations for super exterior powers, new formula for Berezinian as ratio of polynomial invariants, and applications to Buchstaber-Rees theory of n-homomorphisms (joint with H. Khudaverdian);
My work also concerned quantization and Atiyah-Singer index theorem, quantum groups, and generalizations of characteristic classes.
Back to the main page...
Last modified: 1 (14) September 2018 Ted Voronov