Kevin P. Knudson

activity

19982008

most citedA refinement of multi-dimensional persistence

3 citations · 5 across the 8 of their papers we have counts for

collaborators

Showing 2004Show all

3 papers · 1 filter

math.AT2004

Invariant chains and the homology of quotient spaces

Kevin P. Knudson

For a finite group G and a finite G-CW-complex X, we construct groups H_\bullet(G,X) as the homology groups of the G-invariants of the cellular chain complex C_\bullet(X). These gr…

math.GT2004

On the kernel of the Gassner representation

Kevin P. Knudson

We study the Gassner representation of the pure braid group $P_{n}$ by considering its restriction to a free subgroup $F$ . The kernel of the restriction is shown to lie in the subgro…

math.AT2004

Representations of braid groups via conjugation actions on congruence subgroups

Kevin P. Knudson

We construct two families of representations of the braid group $B_{n}$ by considering conjugation actions on congruence subgroups of $G L_{n - 1} (Z [t^{\pm 1}, q^{\pm 1}])$ . We show that…