Higher differential operators and genera of algebraic varieties

27 March 2014
Nick Rosenblyum
We will describe a generalization of the algebra of differential operators, which gives a geometric approach to quantization of cotangent field theories. This construction is compatible with "integration" thus giving a local-to-global construction of volume forms on derived mapping spaces using a version of non-abelian duality. These volume forms give interesting invariants of varieties such as the Todd genus, the Witten genus and the B-model operations on Hodge cohomology.
  • Representation Theory Seminar