Projective modules of finite type over the supersphere S2,2

Differential Geometry and its Application

Volumn 14, Issue 1, 2001, Pages 95-111

  Landi, Giovanni ^a  

^a UNIVERSITY OF TRIESTE   (Italy)

Author keywords

Connections; Monopoles; Super bundles; Supersphere; Topological charges

Indexed keywords

EID: 0007228925     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(00)00041-3     Document Type: Article

References (26)

1. C. Bartocci, U. Bruzzo and D. Hernández Ruipérez, The Geometry of Supermanifolds (Kluwer, Dordrecht, 1991).
2. C. Bartocci, U. Bruzzo and G. Landi, Chern-Simons forms on principal superfiber bundles, J. Math. Phys. 31 (1990) 45-54.
3. F.A. Berezin and D.A. Leites, Supermanifolds, Soviet Math. Dokl. 16 (1975) 1218-1222.
4. F.A. Berezin and V.N. Tolstoy, The group with Grassmann structure UOSP(1,2), Commun. Math. Phys. 78 (1981) 409-428.
5. U. Bruzzo, Berezin integration on De Witt supermanifolds, Israel J. Math. 80 (1992) 161-169.
6. A.H. Chamseddine, G. Felder and J. Fröhlich, Gravity in non-commutative geometry, Comm. Math. Phys. 155 (1993) 205-217.
7. A. Connes, Noncommutative Geometry (Academic Press, San Diego, 1994).
8. A. Connes, Non-commutative geometry and physics, in: Gravitation and Quantization, Les Houches, Session LVII (Elsevier, Amsterdam, 1995) 805-950.
9. A. Connes and M. Rieffel, Yang-Mills for non-commutative two-tori, operator algebras and mathematical physics, Contemp. Math. 62 (1987) 237-266.
10. J. Cuntz and D. Quillen, Algebra extensions and nonsingularity, J. Amer. Math. Soc. 8 (1995) 251-289.
11. L. Dabrowski, H. Grosse, P.M. Hajac, Strong Connections and Chern-Connes Pairing in the Hopf-Galois Theory, e-Print Archive: math.QA/9912239.
12. B. De Witt, Supermanifolds, 2nd edition (Cambridge University Press, Cambridge, 1992).
13. M. Dubois-Violette, Dérivations et calcul différentiel non commutatif, C.R. Acad. Sci. Paris I 307 (1988) 403-408.
14. M. Dubois-Violette, Some aspects of noncommutative differential geometry, e-Print archive: q-alg/9511027.
15. G. Landi, An Introduction to Noncommutative Spaces and Their Geometries (Springer, Berlin, 1997).
16. G. Landi, Deconstructing monopoles and instantons, e-Print archive: math-ph/9812004; Rev. Math. Phys., to appear.
17. G. Landi, Deconstructing monopoles and instantons, e-Print archive: math-ph/9812004; Rev. Math. Phys., to appear.
18. 2, e-Print Archive: math-ph/9905014; J. Geom. Phys., to appear.
19. 2, e-Print Archive: math-ph/9905014; J. Geom. Phys., to appear.
20. G. Landi and G. Marmo, Extensions of Lie superalgebras and supersymmetric Abelian gauge fields, Phys. Lett. B193 (1987) 61-66.
21. D.A. Leites, Introduction to the theory of supermanifolds, Russ. Math. Surv. 35 (1980) 1-64.
22. J. Madore, An Introduction to Noncommutative Differential Geometry and its Physical Applications, LMS Lecture Notes 206, (Cambridge University Press, Cambridge, 1995); 2nd Edition 1999.
23. Yu.I. Manin, Gauge Field Theory and Complex Geometry (Springer, Berlin, 1988).
24. V. Rittenberg and M. Scheunert, Elementary construction of graded Lie groups, J. Math. Phys. 19 (1978) 709-713.
25. A. Rogers, A global theory of supermanifolds, J. Math. Phys. 21 (1980) 1352-1365.
26. R.G. Swan, Vector bundles and projective modules, Trans. Amer. Math. Soc. 105 (1962) 264-277.