Topology Change and Vector Modules on Noncommutative Surfaces of Rotation

Details Topology Change and Vector Modules on Noncommutative Surfaces of Rotation Topology Change and Vector Modules on Noncommutative Surfaces of Rotation

2000-01-05

arxiv.org/abs/math/0001028v1

Mathematics

Quantum Algebra

Latex 32 page 10 figures, submitted to J. Math Phys

Scientific paper

A non associative, noncommutative algebra is defined that may be interpreted as a set of vector modules over a noncommutative surface of rotation. Two of these vector modules are identified with the analogues of the tangent and cotangent spaces in noncommutative geometry, via the definition of an exterior derivative. This derivative reduces to the standard exterior derivative in the commutative limit. The representation of this algebra is used to investigate a simple topology change where two connected compact surfaces coalesce to form one such surface.

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