36 citations · 87 across the 18 of their papers we have counts for
19 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…
The cyclic bar construction and fundamental groups
Nir Gadish
We determine the 0-th Hochschild homology of the associative algebra of simplicial cochains valued in a PID: it consists of the ``finite-type" homotopy invariants of free loops, eq…
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…
Letter-braiding: bridging combinatorial group theory and topology
Nir Gadish
We define invariants of words in arbitrary groups, measuring how letters in a word are interleaving, perfectly detecting the dimension series of a group. These are the letter-braid…
A Serre spectral sequence for the moduli space of tropical curves
Christin Bibby, Melody Chan, Nir Gadish +1
We construct, for all and , a spectral sequence of rational -representations which computes the -equivariant reduced rational cohomology of the tropica…
Configuration spaces on a wedge of spheres and Hochschild-Pirashvili homology
Nir Gadish, Louis Hainaut
We study the compactly supported rational cohomology of configuration spaces of points on wedges of spheres, equipped with natural actions of the symmetric group and the group $Out…