Noncommutative Rigidity

Communications in Mathematical Physics

Volumn 246, Issue 2, 2004, Pages 211-235

  Hawkins, Eli ^a  

^a SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2142697286     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1036-4     Document Type: Article

References (30)

1. Bieliavsky, P., Bordemann, M., Gutt, S., Waldmann, S.: Traces for star products on the dual of a Lie algebra. math.QA/0202126
2. Boucetta, M.: Compatabilité des structures pseudo-riemanniennes et des structures de Poisson. C. R. Acad. Sci. Paris 333, Série I, 763-768 (2001)
3. Bursztyn, H.: Poisson Vector Bundles, Contravariant Connections and Deformations. Prog. Theor. Phys. Supp. 144 (2001)
4. Chakraborty, P.S., Pal, A.: Equivariant Spectral triple on the Quantum SU (2)-group. K-Theory 28, 107-126 (2003) math.KT/0201004
5. Connes, A.: Noncommutative Geometry. London-New York: Academic Press, 1994
6. Connes, A.: Gravity Coupled with Matter and the Foundation of Non-commutative Geometry. Commun. Math. Phys. 182, 155-176 (1996) hep-th/9603053
7. Connes, A., Douglas, M., Schwarz, A.: Noncommutative Geometry and Matrix Theory: Compactification on Tori. JHEP 9802, 003 (1998) hep-th/9711162
8. Connes, A., Dubois-Violette, M.: Noncommutative Finite-Dimensional Manifolds. I. Spherical manifolds and related examples. math.QA/0107070
9. Connes, A., Dubois-Violette, M.: Moduli Space and Structure of Noncommutative 3-Spheres. math.QA/0308275
10. Connes, A., Landi, G.: Noncommutative Manifolds, the Instanton Algebra and Isospectral Deformations. Commun. Math. Phys. 221, 141-159 (2001) math.QA/0011194
11. Cornalba, L., Schiappa, R.: Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds. Commun. Math. Phys. 225, 33-66 (2002) hep-th/0101219
12. Da̧browski, L., Sitarz, A.: Dirac Operator on the Standard Podleś Quantum Sphere. To appear in Banach Center Publications. math.QA/0209048
13. Doplicher, S., Fredenhagen, K., Roberts, I.E.: The quantum structure of spacetime at the Planck scale and quantum fields. Commun. Math. Phys. 172, 187-220 (1995)
14. Dubois-Violette, M., Kerner, R., Madore, J.: Noncommutative Differential Geometry of Matrix Algebras. J. Math. Phys. 31(2), 316-322 (1990)
15. Dubois-Violette, M., Kerner, R., Madore, J.: Shadow of noncommutativity. J. Math. Phys. 39, 730-738 (1998) q-alg/9702030
16. Fedosov, B.: Deformation Quantization and Index Theory. Mathematical Topics. Vol. 9, Berlin: Akademie Verlag, 1995
17. Felder, G., Shoikhet, B.: Deformation Quantization with Traces. Lett. Math. Phys. 53, 73-86 (2000) math.QA/0002057
18. Fernandes, R.L.: Connections in Poisson Geometry. I. Holonomy and Invariants. J. Diff. Geom. 54(2), 303-365 (2000) math.DG/0001129
19. Fuchs, J.: Affine Lie Algebras and Quantum Groups. Cambridge: Cambridge University Press, 1995
20. Konechny, A., Schwarz, A.: Introduction to M(atrix) Theory and Noncommutative Geometry. Phys. Rept. 360, 353-465 (2002) hep-th/0012145
21. Kontsevich, M.: Deformation Quantization of Poisson Manifolds, I. q-alg/9709040
22. Lu, J.-H., Weinstein, A.: Poisson-Lie Groups, Dressing Transformations and Bruhat Decompositions J. Differ. Geom. 31, 501-526 (1990)
23. Madore, J.: The Fuzzy Sphere. Classical Quantum Gravity 9(1), 69-87 (1992)
24. Reshetikhin, N., Voronov, A., Weinstein, A.: Semiquantum Geometry. Algebraic geometry, 5. J. Math. Sci. 82(1), 3255-3267 (1996) q-alg/9606007
25. Seiberg, N., Witten, E.: String Theory and Noncommutative Geometry. JHEP 9909 032 (1999) hep-th/9908142
26. Strohmaier, A.: On Noncommutative and Semi-Riemannian Geometry. math-ph/0110001
27. Vaisman, I.: On the Geometric Quantization of Poisson Manifolds. J. Math. Phys. 32, 3339-3345 (1991)
28. Vaisman, I.: Lectures on the Geometry of Poisson Manifolds. Basel-Boston: Birkhauser, 1994
29. Weinstein, A.: Some Remarks on Dressing Transformations. J. Fac. Sci. Univ. Tokyo. Sect. 1A Math. 36, 163-167 (1988)
30. Weinstein, A.: The modular automorphism group of a Poisson manifold. J. Geom. Phys. 23, 379-394 (1997)