FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 3, PAGES 797-828

**L-theory for local systems of homotopy coalgebras and the exact
sequence for surgery**

S. V. Lapin

Abstract

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In this work various versions of L-theory for local systems of
homotopy coalgebras over simplicial complexes are developed.
The relation to L-theory for local systems of chain complexes
is examined.
We give a construction of $$W-spectra whose
homotopy groups are equal to the corresponding bordism groups of
local systems of homotopy Poincare coalgebras.
By means of these $$W-spectra
the exact sequence for surgery in L-theory for homotopy
coalgebras is obtained.

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Location: http://mech.math.msu.su/~fpm/eng/k01/k013/k01313h.htm

Last modified: December 23, 2001