Conjugation spaces and equivariant Cheen classes

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 20, Issue 1, 2013, Pages 77-90

  Pitsch, Wolfgang ^a   Scherer, Jér̂ome ^b  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b EPFL   (Switzerland)

Author keywords

Characteristic classes; Conjugation spaces; Equivariant chern classes

Indexed keywords

EID: 84896351361     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1366306715     Document Type: Article

References (15)

1. M. F. Atiyah. K-theory and reality. Quart. J. Math. Oxford Ser. (2), 17:367-386, 1966.
2. n with integer coefficients. Proc. Amer. Math. Soc., 85(2):283-288,1982.
3. E. H. Brown, Jr. and F. P. Peterson. Relations between Stiefel-Whitney classes of manifolds. Bull. Amer. Math. Soc., 69:228-230,1963.
4. E. H. Brown, Jr. and F. P. Peterson. Relations among characteristic classes. I. Topology, 3(suppl.1):39-52,1964.
5. E. H. Brown, Jr. and F. P. Peterson. Relations among characteristics classes. II. Ann. of Math. (2), 81:356-363,1965.
6. K. S. Brown. Cohomology of groups, volume 87 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1994. Corrected reprint of the 1982 original.
7. P. F. dos Santos and P. Lima-Filho. Quatemionic algebraic cycles and reality. Trans. Amer. Math. Soc., 356(12):4701-4736,2004.
8. M. Franz and V. Puppe. Steenrod squares on conjugation spaces. C. R. Math. Acad. Sci. Paris, 342(3):187-190,2006.
9. I. Hambleton and J.-C. Hausmann. Conjugation spaces and 4-manifolds. Math. Zeitschrift, 269:521-541,2011.
10. J.-C. Hausmann, T. Holm, and V. Puppe. Conjugation spaces. Algebr. Geom. Topol., 5:923-964 (electronic), 2005.
11. F. Hirzebruch. Topological methods in algebraic geometry. Third enlarged edition. New appendix and translation from the second German edition by R. L. E. Schwarzenberger, with an additional section by A. Borei. Die Grundlehren der Mathematischen Wissenschaften, Band 131. Springer-Verlag New York, Inc., New York, 1966.
12. B. Kahn. Construction de classes de Chern équivariantes pour un fibré vectoriel réel. Comm. Algebra, 15(4):695-711,1987.
13. C. Kosniowski and R. E. Stong. Involutions and characteristic numbers. Topology, 17(4):309-330,1978.
14. M. Nagata, G. Nishida, and H. Toda. Segal-Becker theorem for KR-theory. J. Math. Soc. Japan, 34(1):15-33,1982.
15. W. Pitsch and J. Scherer. Realization of conjugation spaces, in preparation.