JP Journal of Geometry and Topology
Volume 3, Issue 1, Pages 1 - 27
(March 2003)
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ON A CERTAIN SURGERY SPECTRAL SEQUENCE
A. Cavicchioli (Italy), Y. V. Muranov (Belorussia) and D. Repovš (Slovenia)
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Abstract:
Given a morphism between twisted quadratic extensions of antistructures, we construct a spectral sequence which generalizes, in a natural way, the surgery spectral sequence introduced by Hambleton and Kharshiladze in [Mat. Sb. 183(9) (1992), 3-14 (in Russian); English Transl. in Russian Acad. Sci. Sb. Math. 77(1) (1994), 1-9]. Our spectral sequence allows us to obtain some additional information about the Browder-Livesay invariants. Then we study the relations between the above-mentioned spectral sequences, and discuss some examples and applications. |
| Keywords and phrases: surgery, splitting problem, Browder-Livesay groups, Browder-Livesay invariants, spectral sequence, geometric diagram of antistructures, twisted quadratic extension. |
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