On the relation between exact QS-manifolds and odd Jacobi manifolds

2011/03/09 by Andrew James Bruce, Bruce, Andrew James · 1 citation
Mathematics · Physics and Astronomy · #17B70 #53D17 #58A50 #83C47 #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math-ph #math.DG #math.MP #math.QA #math.SG #msc:17B70 #msc:53D17 #msc:58A50 #msc:83C47

paper · pdf · doi:10.48550/arxiv.1103.1803

5 pages. Comments welcomed

arxiv created 2011/03/09 · openalex publication_date 2011/03/09 · arxiv updated 2011/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we show that given an exact QS-manifold (a natural generalisation of an exact Poisson manifold) one can associate a family of odd Jacobi structures on the same underlying supermanifold.

Citations

• Odd Jacobi structures and classical BV-gauge systems

Cited by

• Odd Jacobi manifolds: general theory and applications to generalised Lie algebroids

Related

• Jacobi algebroids and quasi Q-manifolds
• Odd Symmetric Tensors, and an Analogue of the Levi-Civita Connection for an Odd Symplectic Supermanifold
• Odd Jacobi structures and classical BV-gauge systems
• Even and odd geometries on supermanifolds
• Godbillon-Vey classes of regular Jacobi manifolds