On the perturbation lemma, and deformations

2004/03/16 by M. Crainic, Crainic, M. · 3 citations
Mathematics · #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AT #math.DG #math.SG

paper · pdf · doi:10.48550/arxiv.math/0403266

13 pages

arxiv created 2004/03/16 · arxiv updated 2009/12/01

Abstract

We have one more look at the (homological) perturbation lemma and we point out some non-standard consequences, including the relevance to deformations.

Cited by

• Homotopy transfer for massive Kaluza-Klein modes
• Yang-Mills kinematic algebra via homotopy transfer from a worldline operator algebra
• Equivariant deformation problems and homotopy operators

Related

• Homological perturbation theory with curvature
• Enriched categorical aspects of homological perturbation theory
• Perturbations vs deformations
• Ideal Perturbation Lemma
• Analytic geometry and semi-classical analysis