Exotic automorphisms of the Schouten algebra of polyvector fields
S.A. Merkulov
TL;DR
This paper introduces a novel family of exotic Lie-infinity automorphisms of the Schouten algebra of polyvector fields, constructed via a new compactification of configuration spaces and a Kontsevich-type propagator.
Contribution
It presents a new geometric construction of automorphisms using compactified configuration spaces and propagators, expanding the understanding of the Schouten algebra's symmetries.
Findings
Constructed a new compactification of configuration space
Developed a family of exotic Lie-infinity automorphisms
Linked automorphisms to Kontsevich-type propagators
Abstract
Using a new compactification of the (braid) configuration space of n points in the upper half plane we construct a family of exotic Lie-infinity automorphisms of the Schouten algebra of polyvector fields on an affine space depending on a Kontsevich type propagator.
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
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology