21 citations · 22 across the 4 of their papers we have counts for
6 papers · 1 filter
On the spectral sequence associated to a multicomplex
Muriel Livernet, Sarah Whitehouse, Stephanie Ziegenhagen
A multicomplex, also known as a twisted chain complex, has an associated spectral sequence via a filtration of its total complex. We give explicit formulas for all the differential…
Computational Tools for Topological CoHochschild Homology
Anna Marie Bohmann, Teena Gerhardt, Amalie Høgenhaven +2
In recent work, Hess and Shipley defined a theory of topological coHochschild homology (coTHH) for coalgebras. In this paper we develop computational tools to study this new theory…
Iterated bar complexes and E_n-homology with coefficients
Benoit Fresse, Stephanie Ziegenhagen
The first author proved in a previous paper that the n-fold bar construction for commutative algebras can be generalized to E_n-algebras, and that one can calculate E_n-homology wi…
E_n-cohomology with coefficients as functor cohomology
Stephanie Ziegenhagen
Building on work of Livernet and Richter, we prove that E_n-homology and E_n-cohomology of a commutative algebra with coefficients in a symmetric bimodule can be interpreted as fun…
Representations of derived A-infinity algebras
Camil I. Aponte Roman, Muriel Livernet, Marcy Robertson +2
The notion of a derived A-infinity algebra arose in the work of Sagave as a natural generalisation of the classical A-infinity algebra, relevant to the case where one works over a…
A spectral sequence for the homology of a finite algebraic delooping
Birgit Richter, Stephanie Ziegenhagen
In the world of chain complexes E_n-algebras are the analogues of based n-fold loop spaces in the category of topological spaces. Fresse showed that operadic E_n-homology of an E_n…