5 citations · 17 across the 8 of their papers we have counts for
8 papers
Bar cohomology of links: beyond Milnor invariants
Greg Friedman, Nir Gadish, Robin Koytcheff +2
We develop bar cohomology of link complements as an invariant of links in homology spheres. In this setting, bar cohomology is a Hopf algebra which is calculable using surfaces and…
Infinitesimal calculations in fundamental groups
Nir Gadish, Aydin Ozbek, Dev Sinha +1
We show that Hopf invariants, defined by evaluation in Harrison cohomology of the commutative cochains of a space, calculate the logarithm map from a fundamental group to its Malce…
The left-greedy Lie algebra basis and star graphs
Benjamin Walter, Aminreza Shiri
We construct a basis for free Lie algebras via a ``left-greedy'' bracketing algorithm on Lyndon-Shirshov words. We use a new tool -- the configuration pairing between Lie brackets…
The configuration basis of a Lie algebra and its dual
Ben Walter
We use the Lie coalgebra and configuration pairing framework presented previously by Sinha and Walter to derive a new, left-normed monomial basis for free Lie algebras (built from…
Lie algebra configuration pairing
Ben Walter
We give an algebraic construction of the topological graph-tree configuration pairing of Sinha and Walter beginning with the classical presentation of Lie coalgebras via coefficien…
Lie coalgebras and rational homotopy theory II: Hopf invariants
Dev Sinha, Ben Walter
We give a new solution of the "homotopy periods" problem, as highlighted by Sullivan, which places explicit geometrically meaningful formulae first dating back to Whitehead in the…