References for Paolo Salvatore's talks

Books on operads

B. Fresse, Homotopy of operads and Grothendieck-Teichmuller groups. Part 1-2. Mathematical Surveys and Monographs, 217. American Mathematical Society, Providence, RI, 2017

Markl-Shnider-Stasheff, Operads in Algebra, Topology and Physics, AMS

For the Deligne conjecture

M. Kontsevich and Y. Soibelman, Deformations of algebras over operads and the Deligne conjecture. Conference Moshe Flato 1999, Vol. I (Dijon), 255-307, Math. Phys. Stud., 21, Kluwer Acad. Publ., Dordrecht, 2000 arXiv:math/0001151

P. Salvatore, The topological cyclic Deligne conjecture. Algebr. Geom. Topol. 9 (2009), no. 1, 237-264

For the W construction

M. Boardman and R. Vogt, Homotopy Invariant Algebraic Structures on Topological Spaces, Lect.N.Math. 347, Springer, 1973

C. Berger and I. Moerdijk, The Boardman-Vogt resolution of operads in monoidal model categories. Topology 45 (2006), no. 5, 807-849

P. Salvatore, The Fulton Mac Pherson operad and the W-construction, arXiv:1906.07696

For the Fulton Mac Pherson operad

E. Getzler and J.Jones, Operads, homotopy algebra, and iterated integrals for double loop spaces, arXiv: hep-th/9403055

D. Sinha, Manifold-theoretic compactifications of configuration spaces. Selecta Mathematica (new series) Vol 10, No 3 (2004) 391-428.

For the Homology / topology of configuration spaces

F. R. Cohen, T. J. Lada, J. P. May, The homology of iterated loop spaces, L.N.M. 533, Springer

D. Sinha, The homology of the little disks operads, arXiv:math/0610236

For the cell decomposition of moduli spaces

D. Garner and S. Ramgoolam, The geometry of the light-cone cell decomposition of moduli space. J. Math. Phys. 56 (2015), no. 11, 112301, 24 pp

For geometric cycles for configuration spaces

P. Salvatore: Homotopy type of Euclidean configuration spaces, Suppl. Rendiconti del Circolo Matematico di Palermo, Serie II, Suppl. 66 (2001) pp. 161-164, Palermo.

For details of the proof

P. Salvatore, A cell decomposition of the Fulton Mac Pherson operad, arXiv:1906.07694

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