$K$-theory associated to vertex operator algebras

Details $K$-theory associated to vertex operator algebras $K$-theory associated to vertex operator algebras

2004-03-31

arxiv.org/abs/math/0403547v2

Mathematics

Differential Geometry

Corrected some typos

Scientific paper

We introduce two $K$-theories, one for vector bundles whose fibers are
modules of vertex operator algebras, another for vector bundles whose fibers
are modules of associative algebras. We verify the cohomological properties of
these $K$-theories, and construct a natural homomorphism from the VOA K-theory
to the associative algebra K-theory.

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