Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D.W. Anderson, Chain functors and homology theories, Symp. Algebraic Topology, Lecture Notes in Math., 249 (1971) Springer-Verlag.
A. Borel, Stable real cohomology of arithmetic groups, Ann. Sc. Ec. Norm. Sup. 7 (1974), 235–272.
W. Browder, Free ZP — actions on homotopy spheres, Topoloy of Manifolds 217–226, Markham 1970.
D. Burghelea and R. Lashof, Stability of concordances and the suspension homomorphism, Ann. of Math. 105 (1977), 449–472.
__________, The homotopy structure of the group of automorphisms of manifolds in stability ranges and some new functors, (to appear).
__________, Automorphisms of manifolds, a survey, Prop. Symp. Pure Math. 32 (1978).
__________, The homotopy type of the space of diffeomorphisms, Trans. AMS 196 (1975) 1–50.
D. Burghelea, R. Lashof and M. Rothenberg, Groups of automorphisms of manifolds, Lecture Notes in Math. 473 (1975), Springer-Verlag.
J. Cerf, La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, Pub. Math. I.H.E.S., 39 (1970) 5–173.
D. Grayson (after Quillen), Higher algebraic K-theory II, Lecture Notes in Math, 551 (1976), 217–240, Springer-Verlag
F. T. Farrell and W. C. Hsiang, On the rational homotopy groups of the diffeomorphism groups of discs, spheres and aspherical manifolds, Proc. Symp. Pure Math. 32 (1978).
W. Franz, Über die Torsion einer Überdeckung, T. Reine Angew. Math. 173 (1935), 245–254.
H. Garland and W. C. Hsiang, A square integrability criterion for the cohomology of arithmetic groups, Proc. Nat. Acad. Sci. U.S.A., 59 (1968), 354–360.
A. Hatcher, Higher simple homotopy theory, Ann. of Math. 102 (1975), 101–137.
_____, Concordance spaces, higher simple homotopy theory and applications, Proc. Symp. Pure Math. 82 (1978).
A. Hatcher and J. Wagoner, Pseudo-isotopies of compact manifolds, Astérisque 6 (1973), Soc. de France.
W. C. Hsiang, On πi (Diff (Mn)), Geometric Topology, Edited by James C. Cantrell, Academic Press (New York) (1979), 351–365.
W. C. Hsiang, and R. W. Sharpe, Parametrized surgery and isotopy, Pacific Jour. of Math. 67 (1976), 401–459.
K. Igusa, The Wh3(Ï€) for pseudoisotpy, Thesis, Princeton University, (1979).
J. Loday, K-théorie algébrique et représentations de groups, Ann. Sc. Ec. Norm. Sup. 9 (1976), 306–377.
J. P. May, A∞ — ring spaces and spaces and algebraic K-theory, Lecture Notes in Math., vol. 271, Springer-Verlag, 1977.
J. Milnor, Whitehead torsion, Bull. AMS 72 (1966) 358–426.
C. Morlet, Plongement et antomorphismes de variétès, Cours Peceot 1969.
E. P. Peterson and N. Stein, Secondary cohomology operations: two formulas, Am. J. Math. 81 (1959), 281–305.
D. Quillen, Higher algebraic K-theory I, Lecture Notes in Math. 341 (1973), 85–147, Springer-Verlag.
G. Segal, Categories and cohomology theories, Topology 13 (1974), 293–312.
E. Spanier, Algebraic Topology,McGraw-Hill 1966.
I. A. Volodin, Generalized Whitehead groups and pseudo-isotopies, Uspehi Math. Nank 27 (1972), 229–230.
F. Waldhausen, Algebraic K-theory of topological spaces I, Proc. Symp. Pure Math. 32 (1978).
_____, Algebraic K-theory of generalized free products, Ann. of Math. 108 (1978), 135–204.
C. T. C. Wall, Surgery on compact manifold, Academic Press, 1970.
J. E. C. Whitehead, Simple homotopy types, Amer. J. Math. 72 (1950), 1–57.
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Hsiang, W.C., Jahren, B. (1982). A note on the homotopy groups of the diffeomorphism groups of spherical space forms. In: Dennis, R.K. (eds) Algebraic K-Theory. Lecture Notes in Mathematics, vol 967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061901
Download citation
DOI: https://doi.org/10.1007/BFb0061901
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11966-1
Online ISBN: 978-3-540-39556-0
eBook Packages: Springer Book Archive