Open Access

3 - Fold Local index theorem

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică's Cover Image
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Proceedings of the 10th International Workshop on Differential Geometry and its Applications

[1] Baum P. - R. Douglas: K-Theory and Index Theory. Operator Algebras and Applications, Proc. Symposia Pure Math. 38, Vol. I, pp. 117-173, 1982.10.1090/pspum/038.1/679698Search in Google Scholar

[2] Connes A.: Noncommutative differential Geometry, Publ. Math. IHES 62 (1985), pp.257 - 36010.1007/BF02698807Search in Google Scholar

[3] Connes A.: Noncommutative Geometry, Academic Press, (1994)Search in Google Scholar

[4] Connes A., Moscovici H.: Cyclic Cohomology, The Novikov Conjecture and Hyperbolic Groups, Topology Vol. 29, pp. 345-388, 1990.10.1016/0040-9383(90)90003-3Search in Google Scholar

[5] Connes A., Moscovici H.: The Local Index Formula in Noncommutative Geometry. Geom. Func. Anal. 5 (1995), 174 - 24310.1007/BF01895667Search in Google Scholar

[6] Connes A., Sullivan D., Teleman N.: Quasiconformal Mappings, Operators on Hilbert space and Local Formulae for Characteristic Classes, Topology Vol. 33, No. 4, pp.663-681, 1994.10.1016/0040-9383(94)90003-5Search in Google Scholar

[7] Cuntz J. Cyclic Theory, Bivariant K-Theory and the Bivariant Chern-Connes Character. In Cyclic Homology in Non-Commutative Geometry by J. Cuntz, G. Skandalis and B. Tsygan. Encyclopedia of Mathematical Science, Vol. 121, Springer, 2001Search in Google Scholar

[8] Cuntz J.: Cyclic Theory and the Bivariant Chern-Connes Character. Lecture Notes in Mathematics, Vol. 1831, 73-135, Springer.10.1007/978-3-540-39702-1_2Search in Google Scholar

[9] Karoubi M.: Homologie Cyclique et K-théorie. Astérisque 149. Société Mathématique de France, 1987.Search in Google Scholar

[10] Karoubi M.: Homologie cyclique des groupes et des algébres. Comptes Rendus Académie Sciences Paris, t. 297, p. 381, 1983.Search in Google Scholar

[11] Kubarski J., Teleman N. Linear Direct Connections, Proceedings 7th Conference on "Geometry and Topology of Manifolds - The Mathematical Legacy of Charles Ehresmann", Betlewo, May 2005.Search in Google Scholar

[12] Loday J.-L.: Cyclic Homology, Grundlehren in mathematischen Wissenschaften 301, Springer Vedrlag, Berlin Heidelberg, 1992.10.1007/978-3-662-21739-9Search in Google Scholar

[13] McLane S.: Homology, Third Ed., Grundlehren der mathematischen Wissenschaften in Einzeldarstellung Band 114, Springer Verlag, Heidelberg, 1975.Search in Google Scholar

[14] Mishchenko A.S., Telcman N.: Almost flat bundles and almost flat struc- tures. Topological Methods in Non-linear Analysis. Vol. 26, Nr. 1, pp.75-88, 2005.10.12775/TMNA.2005.025Search in Google Scholar

[15] Pusehnigg M.: Diffeotopy Functors of Ind-Algebras and Local Cyclic Co- homology, Documenta Mathematica Vol. 8, 143-245, 2003.Search in Google Scholar

[16] Skandalis G.: Noncommutative Geometry, the Transverse Signature Op- erator and Hopf Algebras. In Cyclic Homology in Non-Commutative Ge- ometry by J. Chintz, G. Skandalis and B. Tsygan. Encyclopedia of Math- ematical Science, Vol. 121, Springer, 2001.Search in Google Scholar

[17] Spanier E. H.: Algebraic Topology, MeGraw - Hill Series in Higher Math- ematics, New York, 196610.1007/978-1-4684-9322-1_5Search in Google Scholar

[18] Teleman N.: Microlocalization de l’Homologie de Hochschild, Compt. Rend. Acad. Scie. Paris, Vol. 326, 1261-1264, 1998.10.1016/S0764-4442(98)80175-4Search in Google Scholar

[19] Teleman N.: Distance Function, Linear quasi connections and Chern Character, IHES Prepublications M/04/27, June 2004.Search in Google Scholar

[20] Teleman N.: Direct Connections and Chern Character. Proceedings of the International Conference in Honour of Jean-Paul Brasselet, Luminy, May 2005. Will appear in World Scientific.Search in Google Scholar

[21] Teleman N.: Modified Hochschild and Periodic Cyclic Homology, IHES Prepublications, IHES/M/06/2006, December 2006.Search in Google Scholar

[22] Telcman N.: Modified Hochschild and Periodic Cyclic Homology, in ”C*- Algebras and Elliptic Theory II”, Trends in Mathematics, p. 251 - 265, 2008, Birkhausen Verlag.10.1007/978-3-7643-8604-7_13Search in Google Scholar

[23] Telcman N.: Local3 Index Theorem. arXiv: 1109.6095, 28.09.2011.Search in Google Scholar

[24] Tsygan B. Cyclic Homology. In Cyclic Homology in Non-Commutative Geometry by J. Cuntz, G. Skandalis and B. Tsygan. Encyclopedia of Mathematical Science, Vol. 121, Springer, 2001Search in Google Scholar

[25] Wood R.: Banach algebras and Bott periodicity. Topology' 4 (1965-1966), 371-389. 10.1016/0040-9383(66)90035-8Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics