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K-theory of lens-like spaces and S\(^1\)- actions on \(S^{2m+1} \times S^{2n+1}\). (English) Zbl 0261.57017

MSC:

57R50 Differential topological aspects of diffeomorphisms
55N15 Topological \(K\)-theory
57S15 Compact Lie groups of differentiable transformations
Full Text: DOI

References:

[1] M. F. ATIYAH, Z-theory, Benjamin, 1967. · Zbl 0159.53302
[2] W. BROWDER, Surgery and the theory of differentiable transformation groups, Proceeding of the Conference on Transformation Groups, Springer-Verlag, 1968. · Zbl 0177.51902
[3] P. E. CONNER AND E. E. FLOYD, Differentiable Periodic Maps, Springer-Verlag, 1964 · Zbl 0125.40103
[4] N. MAHAMMED, A propos de la if-theorie des espaces lenticulaires, C. R. Acad. Sci. Paris, 271 (1970), 639-642. · Zbl 0199.26301
[5] H. OZEKI AND F. UCHIDA: Principal circle actions on a product of spheres, Osaka J. Math 9 (1972), 379-390. · Zbl 0262.57023
[6] G. SEGAL, Equivariant Z-theory, Publ. Math. Inst. des Hautes Etudes Scient. Paris, 3 (1968), 129-151. · Zbl 0199.26202 · doi:10.1007/BF02684593
[7] F. UCHIDA, Periodic maps and circle actions, J. Math. Soc. Japan, 24 (1972), 255-267 · Zbl 0232.57026 · doi:10.2969/jmsj/02420255
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