Journal
COMPOSITIO MATHEMATICA
Volume 143, Issue 5, Pages 1127-1163Publisher
LONDON MATH SOC
DOI: 10.1112/S0010437X07002710
Keywords
courant algebroid; vertex algebroid; gerbe; chiral differential operators
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We give a natural obstruction theoretic interpretation to the first Pontryagin class in terms of Courant algebroids. As an application we calculate the class of the stack of algebras of chiral differential operators. In particular, we establish the existence and uniqueness of the chiral de Rham complex.
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