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René Thom's work on geometric homology and bordism
Author(s):
Dennis
Sullivan
Journal:
Bull. Amer. Math. Soc.
41
(2004),
341-350.
MSC (2000):
Primary 55-XX, 14-XX, 57-XX
Posted:
April 13, 2004
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Additional information
References:
-
- [1]
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- [2]
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cohomology and intersection homology of singular algebraic varieties", Seminar on Differential Geometry, Yau S.T. (ed.), Princeton Univ. Press, Princeton, NJ, 1982. MR 83a:58081 - [16]
- Morgan, J., and Sullivan, D., ``Transversality characteristic class and linking cycles in surgery theory", Annals of Math. 99 (1974) 463-544. MR 50:3240
- [17]
- Goresky, M., and MacPherson, R., ``Intersection homology theory", Topology 19 (1980) pp. 135-162; and ``Intersection homology II", Inventiones Math. 72 (or 71) pp. 77-130. MR 82b:57010
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- Novikov, S.P., ``Additivity of the signature of manifolds with boundary" (author's web page); and K. Janich, ``Characterisierung der signature von Mannifaltijkeiten durch eine Additivitats Eigenschaft", Inventiones Math. 6 (1968) 35-40. MR 37:6954
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- Sullivan, D., ``Geometric Periodicity and the Invariants of Manifolds" Manifolds, Amsterdam, 1970, Lecture Notes, Springer-Verlag, 197 (1970) 44-75. Also, ``Galois Symmetry in Manifolds Theory at the Primes", Proc. ICM, Nice, Part 2 (1970) 169-175. MR 44:2236
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- Hirzebruch, F., ``New Topological Methods in Algebraic Geometry", Springer-Verlag, 1956. MR 96c:57002
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- Buoncristiano, S., Rourke, C.P., and Sanderson, B.J., ``A Geometric Approach to Homology Theory", London Math. Soc. Lecture Note Series, 18, Cambridge University Press, 1976. MR 54:1234
- [32]
- Chern, S.S., Hirzebruch, F., and Serre, J-P. ``On the index of a fibered manifold", Proc. Amer. Math. Soc. 8 (1957), 587-596. MR 19:441c
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Additional Information:
Dennis
Sullivan
Affiliation:
City College (CUNY), 365 Fifth Avenue, New York, New York 10016
Email:
dsullivan@gc.cuny.edu
DOI:
10.1090/S0273-0979-04-01026-2
PII:
S 0273-0979(04)01026-2
Received by editor(s):
February 24, 2004
Posted:
April 13, 2004
Copyright of article:
Copyright
2004,
American Mathematical Society
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