Noncommutative geometry based on commutator expansions

Journal fur die Reine und Angewandte Mathematik

Volumn 505, Issue , 1998, Pages 73-118

  Kapranov, M ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032217874     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.1998.505.73     Document Type: Article

References (32)

1. M. Artin, J.J. Zhang, Noncommutative projective schemes, Adv. Math. 109 (1994), 228-287.
2. N. Blackburn, L. Evens, Schur multipliers of p-groups, J. reine angew. Math. 309 (1979), 100-113.
3. J.-L. Brylinski, Loop spaces, characteristic classes and geometric quantization, Birkhäuser, Boston 1993.
4. A. Connes, Noncommutative geometry, Academic Press, 1994.
5. J. Cuntz, D. Quillen, Algebra extensions and nonsingularity, J. AMS 8 (1995), 251-289.
6. D. Eisenbud, Commutative algebra with a view towards algebraic geometry, Springer-Verlag, 1995.
7. L. Evens, Terminal p-groups, Ill. J. Math. 12 (1968), 682-699.
8. R. Feynman, An operator calculus having applications in quantum electrodynamics, Phys. Rev. (2) 84 (1951), 108-128.
9. I.M. Gelfand, V.S. Retakh, Quasideterminants I, Selecta Math. (N.S.) 3 (1997), 517-546.
10. E. Getzler, M. Kapranov, Cyclic operads and cyclic homology, in: Geometry, topology and physics for R. Bott (S.T. Yau, Ed.), International Press, Cambridge MA (1995), 167-201.
11. E. Getzler, M. Kapranov, Modular operads, Comp. Math. 110 (1998), 65-126.
12. P. Griffiths, J. Harris, Principles of algebraic geometry, J. Wiley, 1978.
13. J.W. Helton, R.E. Howe, Traces of commutators of integral operators, Acta Math. 135 (1975), 271-305.
14. V.S. Hinich, V.V. Schechtman, On homotopy limit of homotopy algebras, in: K-theory, arithmetic and geometry (Y.I. Manin, Ed.), Springer Lect. Notes Math. 1289 (1987), 240-264.
15. M. Kapranov, Rozansky-Witten invariants in Atiyah classes, preprint alg-geom # 9704009, Comp. Math., to appear.
16. M.V. Karasev, V.P. Maslov, Nonlinear Poisson brackets, geometry and quantization, Amer. Math. Soc., 1993.
17. M. Kontsevich, Formal non-commutative symplectic geometry, in: Gelfand Mathematical Seminars 1990-92 (L. Corwin, I. Gelfand, J. Lepowsky, Eds.), Birkhäuser, Boston (1993), 173-187.
18. J.-L. Loday, Cyclic homology, Springer-Verlag, 1992.
19. I. Macdonald, Symmetric functions and Hall polynomials, Clarendon Press, Oxford 1995.
20. W. Magnus, A. Karrass, D. Solitar, Combinatorial group theory, Dover Publ., 1976.
21. Y.I. Manin, Gauge field theory and complex geometry, Springer-Verlag, 1991.
22. V.P. Maslov, Operational methods, Mir Publ., Moscow 1968.
23. J. Milnor, Introduction to algebraic K-theory, Princeton Univ. Press, 1971.
24. A.L. Rosenberg, Noncommutative algebraic geometry and representations of quantum groups, Kluwer Publ., 1995.
25. W. Schelter, Smooth algebras, J. Alg. 103 (1986), 677-685.
26. M. Schlessinger, Functors on Artin rings, Trans. AMS 130 (1968), 208-222.
27. S. Sigg, Laplacian and homology of free two-step nilpotent Lie algebras, J. Alg. 185 (1996), 144-161.
28. J.D. Stasheff, Homotopy associativity of H-spaces I, II, Trans. AMS 108 (1963), 275-292.
29. B. Steinstrom, Rings of quotients, Springer-Verlag, 1975.
30. B.L. Tsygan, Homology of matrix Lie algebras over rings and Hochschild homology, Uspekhi Mat. Nauk 38 (1983), 217-218.
31. F. Van Oystaeyen, A.H. Verschoren, Non-commutative algebraic geometry, Springer Lect. Notes Math. 887 (1981).
32. F. Van Oystaeyen, L. Willaert, Cohomology of schematic algebras, J. Alg. 185 (1996), 74-84.