Closedness of Star Products and Cohomologies

6533b7d1fe1ef96bd125c112

RESEARCH PRODUCT

Closedness of Star Products and Cohomologies

subject

Physics Pure mathematics Poisson bracket Mathematics::K-Theory and Homology Star product Quantum group Cyclic homology Astrophysics::Solar and Stellar Astrophysics Star (graph theory)Hopf algebra Astrophysics::Galaxy Astrophysics Symplectic manifold Connection (mathematics)

description

We first review the introduction of star products in connection with deformations of Poisson brackets and the various cohomologies that are related to them. Then we concentrate on what we have called “closed star products” and their relations with cyclic cohomology and index theorems. Finally we shall explain how quantum groups, especially in their recent topological form, are in essence examples of star products.

year	journal	country	edition	language
1994-01-01

https://doi.org/10.1007/978-1-4612-0261-5_8

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