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math.AT2010
Chiral differential operators on supermanifolds
Pokman Cheung
The first part of this paper provides a new formulation of chiral differential operators (CDOs) in terms of global geometric quantities. The main result is a recipe to define all s…
math.AT2008★ 4 cited
Supersymmetric field theories and cohomology
Pokman Cheung
This is the Ph.D. dissertation of the author. The project has been motivated by the conjecture that the Hopkins-Miller tmf spectrum can be described in terms of `spaces' of conform…
math.AT2008★ 5 cited
The Witten genus and vertex algebras
Pokman Cheung
This article is the first report of an ongoing project aimed at finding a geometric interpretation of the Witten genus and other tmf classes. Section 2 reviews the sheaves of chira…