Homology and derived series of groups.
Homology and homotopy groups of the complement of certain family of fibers in a critical point problem.
Homology cobordism group of homology 3-spheres.
Homology cylinders: an enlargement of the mapping class group.
Homology cylinders and the acyclic closure of a free group.
Homology exponents for -spaces.
Homology Hopf surfaces
Homology lens spaces and Dehn surgery on homology spheres
A homology lens space is a closed 3-manifold with ℤ-homology groups isomorphic to those of a lens space. A useful theorem found in [Fu] states that a homology lens space may be obtained by an (n/1)-Dehn surgery on a homology 3-sphere if and only if the linking form of is equivalent to (1/n). In this note we generalize this result to cover all homology lens spaces, and in the process offer an alternative proof based on classical 3-manifold techniques.
Homology of classical Lie groups made discrete, I. Stability theorems and Schur mulipliers.
Homology of Deleted Product Spaces.
Homology Operations in the Eilenberg-Moore Spectral Sequence.
Homology Spheres and S1-Actions.
Homology stability for outer automorphism groups of free groups.
Homology surgery and invariants of 3-manifolds.
Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles
A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles.
Homomorphic extensions of Johnson homomorphisms via Fox calculus
Using Fox differential calculus, for any positive integer , we construct a map on the mapping class group of a surface of genus with one boundary component, such that, when restricted to an appropriate subgroup, it coincides with the Johnson-Morita homomorphism. This allows us to construct very easily a homomorphic extension to of the second and third Johnson-Morita homomorphisms.
Homomorphism between Homotopy groups induced by elements of the sobolev space L1, p (M, N).
Homomorphisms of Fuchsian groups to PSL (2, ...).
Homotopic homeomorphisms of infinite-dimensional manifolds
Homotopical dynamics.