Samuel Carolus

collaborators

3 papers

math.RA2019

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 $d$ -sphere for any $d\g…

math.RA2019

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…

math.RA2018

$G$ -Algebra Structure on the Higher Order Hochschild Cohomology $H_{S^{2}}^{*} (A, A)$

Samuel Carolus, Mihai D. Staic

We present a deformation theory associated to the higher Hochschild cohomology $H_{S^{2}}^{*} (A, A)$ . We also study a $G$ -algebra structure associated to this deformation theory.

Deformation Theories Controlled by Hochschild Cohomologies

A Simplicial Construction for Noncommutative Settings

G-Algebra Structure on the Higher Order Hochschild Cohomology HS2∗​(A,A)

$G$ -Algebra Structure on the Higher Order Hochschild Cohomology $H_{S^{2}}^{*} (A, A)$