Cohomology ring of differential operator rings
Graciela Carboni, Jorge A. Guccione, Juan J. Guccione
TL;DR
This paper calculates the structure of the Hochschild cohomology ring and cap product for differential operator rings, providing insights into their algebraic properties.
Contribution
It introduces explicit computations of the Hochschild cohomology ring and cap product for differential operator rings, advancing understanding of their algebraic structure.
Findings
Explicit description of the Hochschild cohomology ring structure.
Calculation of the cap product in this context.
Enhanced understanding of algebraic properties of differential operator rings.
Abstract
We compute the multiplicative structure in the Hocshchild cohomology ring of a differential operators ring and the cap product of Hochschild cohomology on the Hochschild homology.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology