On some anticyclic operads
Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 53-69
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Some binary quadratic operads are endowed with anticyclic structures and their characteristic functions as anticyclic operads are determined, or conjectured in one case.

DOI : 10.2140/agt.2005.5.53
Keywords: anticyclic operad, Legendre transform

Chapoton, Frédéric  1

1 Institut Girard Desargues, Universite Claude Bernard (Lyon 1), Batiment Braconnier, 21 Avenue Claude Bernard, F-69622 Villeurbanne Cedex, France
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Chapoton, Frédéric. On some anticyclic operads. Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 53-69. doi: 10.2140/agt.2005.5.53

[1] M Aguiar, Pre–Poisson algebras, Lett. Math. Phys. 54 (2000) 263

[2] F Chapoton, Un endofoncteur de la catégorie des opérades, from: "Dialgebras and related operads", Lecture Notes in Math. 1763, Springer (2001) 105

[3] F Chapoton, M Livernet, Pre–Lie algebras and the rooted trees operad, Internat. Math. Res. Notices (2001) 395

[4] J Conant, K Vogtmann, On a theorem of Kontsevich, Algebr. Geom. Topol. 3 (2003) 1167

[5] E Getzler, M M Kapranov, Cyclic operads and cyclic homology, from: "Geometry, topology, physics", Conf. Proc. Lecture Notes Geom. Topology, IV, Int. Press, Cambridge, MA (1995) 167

[6] E Getzler, M M Kapranov, Modular operads, Compositio Math. 110 (1998) 65

[7] V Ginzburg, M Kapranov, Koszul duality for operads, Duke Math. J. 76 (1994) 203

[8] S Huang, D Tamari, Problems of associativity : A simple proof for the lattice property of systems ordered by a semi-associative law, J. Combinatorial Theory Ser. A 13 (1972) 7

[9] M Kontsevich, Formal (non)commutative symplectic geometry, from: "The Gel’fand Mathematical Seminars, 1990–1992", Birkhäuser (1993) 173

[10] G Labelle, Some new computational methods in the theory of species, from: "Combinatoire énumérative (Montreal, Que., 1985/Quebec, Que., 1985)", Lecture Notes in Math. 1234, Springer (1986) 192

[11] J L Loday, Dialgebras, from: "Dialgebras and related operads", Lecture Notes in Math. 1763, Springer (2001) 7

[12] M Markl, Cyclic operads and homology of graph complexes, Rend. Circ. Mat. Palermo (2) Suppl. (1999) 161

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