5 papers · 1 filter
Replacing bar-like resolutions in a simplicial setting
Samuel Carolus, Jacob Laubacher, Sydney D. Vitalbo +1
It is well known that the bar resolution can be replaced with any projective resolution of the corresponding algebra when computing the Hochschild (co)homology of that algebra. Thi…
Deformation Theories Controlled by Hochschild Cohomologies
Samuel Carolus, Samuel A. Hokamp, Jacob Laubacher
We explore how the higher order Hochschild cohomology controls a deformation theory when the simplicial set models the 3-sphere. Besides generalizing to the -sphere for any $d\g…
A Simplicial Construction for Noncommutative Settings
Samuel Carolus, Jacob Laubacher, Mihai D. Staic
In this paper we present a general construction that can be used to define the higher Hochschild homology for a noncommutative algebra. We also discuss other examples where this co…
Properties of the Secondary Hochschild Homology
Jacob Laubacher
In this paper we study properties of the secondary Hochschild homology of the triple with coefficients in . We establish a type of Morita equivalence between…
Bar Simplicial Modules and Secondary Cyclic (Co)homology
Jacob Laubacher, Mihai D. Staic, Alin Stancu
In this paper we study the simplicial structure of the complex , associated to the secondary Hochschild cohomology. The main ingredient is the si…