
TL;DR
This paper introduces H-twisted Lie algebroids, a new algebraic structure satisfying a twisted Jacobi identity, with applications in classifying PQ3-manifolds through cohomology theories.
Contribution
It defines H-twisted Lie algebroids, explores their properties, and develops associated cohomology theories, advancing the understanding of twisted algebraic structures.
Findings
Defined H-twisted Lie algebroids with a closed 3-form twist.
Established three types of cohomology for these structures.
Classified PQ3-manifolds using the developed cohomology theories.
Abstract
We define a new kind of algebroid which fulfills a Leibniz rule, a Jacobi identity twisted by a 3-form with values in the kernel of the anchor map, and the twist is closed under a naturally occurring exterior covariant derivative. We give examples and define three kinds of cohomology two via realization as Q-structure on graded manifolds. This classifies PQ3-manifolds.
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.
