Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google