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The twisting procedure
- Publication Year :
- 2018
-
Abstract
- This paper provides a conceptual study of the twisting procedure, which amounts to create functorially new differential graded Lie algebras, associative algebras or operads (as well as their homotopy versions) from a Maurer--Cartan element. On the way, we settle the integration theory of complete pre-Lie algebras in order to describe this twisting procedure in terms of gauge group action. We give a criterion on quadratic operads for the existence of a meaningful twisting procedure of their associated categories of (homotopy) algebras. We also give a new presentation of the twisting procedure for operads \`a la Willwacher and we perform new homology computations of graph complexes.<br />Comment: New format (short monography), 93 pages, minor corrections, submitted version
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1810.02941
- Document Type :
- Working Paper