Projective splitting obstruction groups for one-sided submanifolds

Abstract

Abstract. A geometric diagram of groups, which consists of groups equipped with geometric antistructures, is a natural generalization of the square of fundamental groups arising in the splitting problem for a one-sided submanifold. In the present paper the groups LS * and LP * of such diagrams are defined and the properties of these groups are described. Methods for the computation of LS

Splitting along Submanifolds and L-Spectra

“…Algebraic approaches based on spectra in surgery theory allow one to obtain deeper connections between different algebraic objects appearing in the classification of geometric structures on pairs of manifolds (see [1,14,[18][19][20][21][22][23][24]). …”