POINCARÉ DUALITY FOR K-THEORY OF EQUIVARIANT COMPLEX PROJECTIVE SPACES
Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 111-127

Voir la notice de l'article provenant de la source Cambridge University Press

We make explicit Poincaré duality for the equivariant K-theory of equivariant complex projective spaces. The case of the trivial group provides a new approach to the K-theory orientation [3].
DOI : 10.1017/S0017089507003990
Mots-clés : 57R91, 55N15, 55N91
GREENLEES, J. P. C.; WILLIAMS, G. R. POINCARÉ DUALITY FOR K-THEORY OF EQUIVARIANT COMPLEX PROJECTIVE SPACES. Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 111-127. doi: 10.1017/S0017089507003990
@article{10_1017_S0017089507003990,
     author = {GREENLEES, J. P. C. and WILLIAMS, G. R.},
     title = {POINCAR\'E {DUALITY} {FOR} {K-THEORY} {OF} {EQUIVARIANT} {COMPLEX} {PROJECTIVE} {SPACES}},
     journal = {Glasgow mathematical journal},
     pages = {111--127},
     year = {2008},
     volume = {50},
     number = {1},
     doi = {10.1017/S0017089507003990},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003990/}
}
TY  - JOUR
AU  - GREENLEES, J. P. C.
AU  - WILLIAMS, G. R.
TI  - POINCARÉ DUALITY FOR K-THEORY OF EQUIVARIANT COMPLEX PROJECTIVE SPACES
JO  - Glasgow mathematical journal
PY  - 2008
SP  - 111
EP  - 127
VL  - 50
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003990/
DO  - 10.1017/S0017089507003990
ID  - 10_1017_S0017089507003990
ER  - 
%0 Journal Article
%A GREENLEES, J. P. C.
%A WILLIAMS, G. R.
%T POINCARÉ DUALITY FOR K-THEORY OF EQUIVARIANT COMPLEX PROJECTIVE SPACES
%J Glasgow mathematical journal
%D 2008
%P 111-127
%V 50
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003990/
%R 10.1017/S0017089507003990
%F 10_1017_S0017089507003990

[1] 1.Adams, J. F., Prerequisites (on equivariant stable homotopy) for Carlsson's lecture, in Algebraic topology, Aarhus 1982 Lecture Notes in Mathematics, No. 1051 (Springer-Verlag, 1984), 483–532. Google Scholar

[2] 2.Adams, J. F., Lectures on Lie groups (University of Chicago Press, Chicago, IL, 1982). Midway Reprint of the 1969 original. Google Scholar

[3] 3.Adams, J. F., Stable homotopy and generalised homology, Chicago Lectures in Mathematics (University of Chicago Press, Chicago, IL, 1995). Reprint of the 1974 original. Google Scholar

[4] 4.Bredon, Glen E., Introduction to compact transformation groups (Academic Press, New York, 1972). Google Scholar

[5] 5.Cole, Michael, Greenlees, J. P. C. and Kriz, I., The universality of equivariant complex bordism, Math. Z. 239 (3) (2002), 455–475. Google Scholar | DOI

[6] 6.Costenoble, S. R., May, J. P. and Waner, S., Equivariant orientation theory, in Homology Homotopy Appl., 3 (2) (2001), 265–339. Equivariant stable homotopy theory and related areas (Stanford, CA, 2000). Google Scholar | DOI

[7] 7.Elmendorf, A. D., Kriz, I., Mandell, M. A. and May, J. P., Rings, modules, and algebras in stable homotopy theory, Mathematical Surveys and Monographs (American Mathematical Society, Providence, RI, 1997). Google Scholar

[8] 8.Greenberg, Marvin J. and Harper, John R., Algebraic topology: a first course, Mathematics Lecture Note Series (Addison-Wesley, 1981). Google Scholar

[9] 9.Michael, Joachim, Higher coherences for equivariant K-theory, in Structured ring spectra, London Math. Soc. Lecture Note Ser. (Cambridge University Press, 2004), 87–114. Google Scholar

[10] 10.Lewis, L. G. Jr., and Mandell, Michael A., Equivariant universal coefficient and Künneth spectral sequences, Proc. London Math. Soc. (3) 92 (2) (2006), 505–544. Google Scholar | DOI

[11] 11.Lewis, L. G. Jr., May, J. P., Steinberger, M. and McClure, J. E., Equivariant stable homotopy theory Lecture Notes in Mathematics. No. 1213 (Springer-Verlag, 1986). Google Scholar | DOI

[12] 12.May, J. P., Equivariant homotopy and cohomology theory (CBMS, 1996). Google Scholar

[13] 13.Segal, Graeme, Equivariant K-theory. Inst. Hautes Études Sci. Publ. Math. 34 (1968), 129–151. Google Scholar | DOI

[14] 14.Williams, G. R., Poincaré duality in equivariant K-theory for \C P(V), PhD thesis (University of Sheffield, 2005). Google Scholar

Cité par Sources :