On Framed Quantum Principal Bundles
Mico Durdevic
TL;DR
This paper develops a noncommutative geometric framework for framed quantum principal bundles, analyzing quantum torsion and Levi-Civita connections, and constructing a natural differential calculus with illustrative examples.
Contribution
It introduces a formalism for framed quantum principal bundles, including quantum torsion operators, Levi-Civita connections, and a differential calculus, advancing noncommutative geometry methods.
Findings
Quantum torsion operators are characterized.
Levi-Civita type connections are constructed.
A natural differential calculus on framed bundles is developed.
Abstract
A noncommutative-geometric formalism of framed principal bundles is sketched, in a special case of quantum bundles (over quantum spaces) possessing classical structure groups. Quantum counterparts of torsion operators and Levi-Civita type connections are analyzed. A construction of a natural differential calculus on framed bundles is described. Illustrative examples are presented.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Advanced Topics in Algebra