Quantum Principal Bundles

Table of Contents

Introduction
Differential Calculus
Connections Formalism
Characteristic Classes
Quantum Classifying Spaces
Quantum Frame Bundles
Associated Bundles
Gauge Transformations
Literature


Literature

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[D2]Durdevich M: Geometry of Quantum Principal Bundles I, Commun Math Phys 175 (3) 457-521 (1996)
[D3] Durdevich M: Geometry of Quantum Principal Bundles II, Rev Math Phys 9 (5) 531-607 (1997)
[D4] Durdevich M: Quantum Principal Bundles and Corresponding Gauge Theories, J Phys A Math Gen 30 2027-2054 (1997)
[D5] Durdevich M: Quantum Principal Bundles and Tannaka-Krein Duality Theory, Rep Math Phys 38 (3) 313-324 (1996)
[D6] Durdevich M: Differential Structures on Quantum Principal Bundles, Rep Math Phys 41 (1) 91-115 (1998)
[D7] Durdevich M: Quantum Classifying Spaces and Universal Quantum Characteristic Classes, Banach Center Publications, 40 315-327 (1997)
[D8] Durdevich M: Quantum Principal Bundles and Their Characteristic Classes, Banach Center Publications, 40 303-313 (1997)
[D9] Durdevich M: Characteristic Classes of Quantum Principal Bundles, Preprint, Institute of Mathematics, UNAM
[D10] Durdevich M: General Frame Structures on Quantum Principal Bundles, Rep Math Phys (to appear)
[D11] Durdevich M: Classical Spinor Structures on Quantum Spaces, in: Clifford Algebras and Spinor Structures, Kluwer, 365-377 (1995)
[D12] Durdevich M: Quantum Gauge Transformations and Braided Structure on Quantum Principal Bundles, Preprint, Institute of Mathematics, UNAM
[D13] Durdevich M: Generalized Braided Quantum Groups, Isr Jour Math 98 329-348 (1997)
[JT] Jensen K K, Thomsen K:Elements of KK-theory, Birkhauser, Boston (1991)
[K] Kastler D: Cyclic Cohomology Within Differential Envelope, Hermann, Paris (1988)
[KN] Kobayashi S, Nomizu K: Foundations of Differential Geometry, Interscience Publ, New York, London (1963)
[P] Podles P: Quantum Spheres, Lett Math Phys 14 193-202 (1987)
[W1] Woronowicz S L: Twisted SU(2) group; An example of a noncommutative differential calculus, RIMS, Kyoto University 23, 117-181 (1987)
[W2] Woronowicz S L: Compact Matrix Pseudogroups, Commun Math Phys 111, 613-665 (1987)
[W3] Woronowicz S L: Differential Calculus on Compact Matrix Pseudogroups (Quantum Groups), Commun Math Phys 122, 125-170 (1989)
[W4] Woronowicz S L: Tannaka-Krein Duality for Compact Matrix Pseudogroups; Twisted SU(n) groups, Invent Math 93, 35-76 (1988)

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