2015/01/06 by Johannes Löffler, Löffler, Johannes
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1501.01156
Some typos corrected. A vanishing lemma on p. 46 got corrected by restricting to special graphs
openalex publication_date 2015/01/06 · arxiv created 2015/01/29 · arxiv updated 2015/01/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
This paper adds some details to the seminal approach to logarithmic formality \citeAWRT and interpolation formality \citeWR by Alekseev, Rossi, Torossian and Willwacher: We prove that the interpolation family of Kontsevich formality maps extends to Shoikhet-Tsygan formality and a complex interpolation parameter. We show some elementary relations satisfied by this polynomials. We also compute some Kontsevich integral weights and reason on the number theoretic meaning of the invariance of Kontsevich's propagator under real translations and scalings in the case of the Merkulov n-wheels.