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. sbornik 183 (1992). 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.
On a certain surgery spectral sequence / Cavicchioli, Alberto; Y. V., Muranov; D., Repovs. - In: JP JOURNAL OF GEOMETRY AND TOPOLOGY. - ISSN 0972-415X. - STAMPA. - 3 (1):(2003), pp. 1-27.
On a certain surgery spectral sequence
CAVICCHIOLI, Alberto;
2003
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. sbornik 183 (1992). 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.
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