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A new invariant and parametric connected sum of embeddings

A. Skopenkov (2007)

Fundamenta Mathematicae

We define an isotopy invariant of embeddings $N \to ℝ^{m}$ of manifolds into Euclidean space. This invariant together with the α-invariant of Haefliger-Wu is complete in the dimension range where the α-invariant could be incomplete. We also define parametric connected sum of certain embeddings (analogous to surgery). This allows us to obtain new completeness results for the α-invariant and the following estimation of isotopy classes of embeddings. In the piecewise-linear category, for a (3n-2m+2)-connected...

A note on generalized equivariant homotopy groups

Marek Golasiński, Daciberg L. Gonçalves, Peter N. Wong (2009)

Banach Center Publications

In this paper, we generalize the equivariant homotopy groups or equivalently the Rhodes groups. We establish a short exact sequence relating the generalized Rhodes groups and the generalized Fox homotopy groups and we introduce Γ-Rhodes groups, where Γ admits a certain co-grouplike structure. Evaluation subgroups of Γ-Rhodes groups are discussed.

Displaying 1 – 14 of 14

A new invariant and parametric connected sum of embeddings

A note on generalized equivariant homotopy groups

A Relation Between Equivariant and Non-equivariant Stable Cohomotopy.

Adams and Steenrod operators in dihedral homology.

Equivariant evaluation subgroups and Rhodes groups

Equivariant stable homotopy and Sullivan's conjecture.

Equivariant stable stems for prime order groups.

Equivariant weak $n$ -equivalences.

Lower equivariant K-theory.

On the Groups JOGX. I.

On the Segal conjecture for compact Lie groups.

Reflexive and dihedral (co)homology of a pre-additive category.

Self-equivalences of dihedral spheres.

The Bredon-Löffler conjecture.

Currently displaying 1 – 14 of 14