Book Review
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Book Information:
Author:
V.V. Vershinin
Title:
Cobordisms and spectral sequences
Additional book information:
Translations of Mathematical Monographs, vol. 130, Amer. Math. Soc.,
Providence, RI,
1993,
v + 97 pp.,
ISBN 0-8218-4582-9,
$62.00$
Michael Atiyah, Topological quantum field theories, Inst. Hautes Études Sci. Publ. Math. 68 (1988), 175–186 (1989). MR 1001453
Nils Andreas Baas, On the stable Adams spectral squences, Various Publications Series, No. 6, Aarhus Universitet, Matematisk Institut, Aarhus, 1969. MR 0268894
Nils Andreas Baas, Bordism theories with singularities, Proceedings of the Advanced Study Institute on Algebraic Topology (Aarhus Univ., Aarhus, 1970) Various Publ. Ser., No. 13, Mat. Inst., Aarhus Univ., Aarhus, 1970, pp. 1–16. MR 0346823
Boris I. Botvinnik, Manifolds with singularities and the Adams-Novikov spectral sequence, London Mathematical Society Lecture Note Series, vol. 170, Cambridge University Press, Cambridge, 1992. MR 1192127, DOI 10.1017/CBO9780511662645
Peter S. Landweber, A survey of bordism and cobordism, Math. Proc. Cambridge Philos. Soc. 100 (1986), no. 2, 207–223. MR 848847, DOI 10.1017/S0305004100066032
Douglas C. Ravenel, Complex cobordism and stable homotopy groups of spheres, Pure and Applied Mathematics, vol. 121, Academic Press, Inc., Orlando, FL, 1986. MR 860042
Sam Perlis, Maximal orders in rational cyclic algebras of composite degree, Trans. Amer. Math. Soc. 46 (1939), 82–96. MR 15, DOI 10.1090/S0002-9947-1939-0000015-X
- 1
- M.F. Atiyah, Topological quantum field theory, Publ. Math. IHES 68 (1989), 175-186. MR 1001453
- 2
- N.A. Baas, On the stable Adams spectral sequences, Var. Publ. Ser. No. 6, Math. Inst., Aarhus Univ., Aarhus, 1969. MR 0268894
- 3
- ------, On bordism theory of manifolds with singularities, Math. Scand. 33 (1973), 279-302. MR 0346823
- 4
- B.I. Botvinnik, Manifolds with singularities and the Adams-Novikov spectral sequence, London Math. Soc. Lecture Note Series, vol. 170, Cambridge Univ. Press, Cambridge, 1992. MR 1192127
- 5
- P.S. Landweber, A survey of bordism and cobordism, Math. Proc. Cambridge Phil. Soc. 100 (1986), 207-233. MR 0848847
- 6
- D.C. Ravenel, Complex cobordism and stable homotopy groups of spheres, Academic Press, 1986. MR 0860042
- 7
- R. Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17-86. MR 15:890
Review Information:
Reviewer:
Nils A. Baas
Affiliation:
University of Trondheim
Email:
baas@imf.unit.no
Journal:
Bull. Amer. Math. Soc.
33 (1996), 111-113
DOI:
https://doi.org/10.1090/S0273-0979-96-00622-2
Review copyright:
© Copyright 1996
American Mathematical Society
