Advances in Quantum and Braided Geometry

S. Majid

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arXiv · q-alg/9610003

Advances in Quantum and Braided Geometry

S. Majid

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Abstract

We demonstrate our recent general results on the Casimir construction and moduli space of all bicovariant calculi by means of some detailed examples, including finite-difference and 2-jet cacluli on $\R^n$ and full details of the Casimir construction of the 4D calculus of $SU_q(2)$. We likewise demonstrate our previous general constructions with T. Brzezinski of quantum group gauge theory with examples of such nonuniversal differential calculi on spacetime. We outline a notion of quantum homotopy of a quantum space. We indicate a possible application to classical integrable systems.

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BibTeX RIS

S. Majid. 1997-01-01. Advances in Quantum and Braided Geometry. https://arxiv.org/abs/q-alg/9610003

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