3 papers
math.AT2025
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…
math.GR2025
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…
math.AT2024
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…