|
Exotic cohomology and index theory
Author(s):
John
Roe
Journal:
Bull. Amer. Math. Soc.
23
(1990),
447-453.
MSC (1985):
Primary 57G12;
Secondary 19K56, 55N35
MathSciNet review:
1049433
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 1.
- M. F. Atiyah, R. Bott and V. K. Patodi, On the heat equation and the index theorem, Invent. Math. 19 (1973), 279-330. MR 650828
- 2.
- M. F. Atiyah and I. M. Singer, The index of elliptic operatorsIII. Ann. of Math. (2) 87 (1968), 546-604. MR 236952
- 3.
- B. Blackadar, K-theory for operator algebras, Mathematical Sciences Research Institute Publications, Springer-Verlag, New York, 1986. MR 2188261
- 4.
- A. Connes, Non-commutative differential geometry, Publ. Math. l'Institut des Hautes Études Scientifiques 62 (1985), 141-144.
- 5.
- A. Connes and H. Moscovici, Conjecture de Novikov et groupes hyperboliques, C. R. Acad. Sci. Paris Ser. A 307 (1988), 475-479. MR 964110
- 6.
- A. Connes and H. Moscovici, Cyclic cohomology, the Novikov conjecture, and hyperbolic groups, Topology (1990) (to appear). MR 1066176
- 7.
- H. Freudenthal, Neuaufbau der endentheorie, Ann. of Math. 43 (1942), 261-279. MR 6504
- 8.
- E. Getzler, Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem, Comm. Math. Phys. 92 (1983), 163-178. MR 728863
- 9.
- M. Gromov, Structures métriques pour les variétés Riemanniennes, Editions CEDIC, Paris, 1981. MR 682063
- 10.
- M. Gromov and H. B. Lawson, Positive scalar curvature and the Dirac operator, Publ. Math. l'Institut des Hautes Études Scientifiques 58 (1983), 83-196.
- 11.
- M. Gromov and H. B. Lawson, Spin and scalar curvature in the presence of a fundamental group, Ann. of Math. 111 (1980), 209-230. MR 569070
- 12.
- N. Higson, On the relative K-homology theory of Baum and Douglas, preprint, 1989.
- 13.
- A. Lichnerowicz, Spineurs harmoniques, C. R. Acad. Sci. Paris Ser. A 257 (1963), 7-9. MR 156292
- 14.
- J. W. Milnor, Introduction to algebraic K-theory, Princeton University Press, 1971. MR 349811
- 15.
- J. Roe, Exotic cohomology and index theory on complete Riemannian manifolds, preprint, 1990. MR 1049433
- 16.
- J. Roe, An index theorem on open manifoldsI, J. Differential Geom. 27 (1988), 87-113. MR 918459
- 17.
- J. Roe, Operator algebras and index theory on non-compact manifolds, Index Theorey of Elliptic Operators, Foliations, and Operator Algebras (C. Miller, J. Kaminker, and C. Schocher, eds.), Amer. Math. Soc. Providence, R.I., 1988, pp. 229-249. MR 948695
- 18.
- J. Roe, Partitioning non-compact manifolds and the dual Toeplitz problem, Operator Algebras and Applications (D. Evans and M. Takesaki, eds.), Cambridge Univ. Press, Cambridge, 1989, pp. 187-228. MR 996446
- 19.
- R. Schoen and S. T. Yau, Existence of incompressible minimal surfaces and the topology of three dimensional manifolds of non-negative scalar curvature, Ann. of Math. 110 (1979), 127-142. MR 541332
- 20.
- R. Schoen and S. T. Yau, On the structure of manifolds with positive scalar curvature, Manuscripta Math. 28 (1979), 159-183. MR 535700
- 21.
- E. Spanier, Algebraic topology, McGraw-Hill, 1966. MR 210112
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1985):
57G12, 19K56, 55N35
Retrieve articles in all Journals with MSC
(1985):
57G12, 19K56, 55N35
Additional Information:
DOI:
10.1090/S0273-0979-1990-15956-7
PII:
S 0273-0979(1990)15956-7
|