Muriel Livernet - Publications

Publications
[1] Homotopie rationnelle des algèbres de Leibniz , C.R.A.S. 325 (1997), 819-823 [2] Rational homotopy of Leibniz algebras, Manus. Math. 96, (1998), 295-315 [3] Homologie des algèbres de matrices d'une algèbre associative à homotopie près, C.R.A.S. 329 (1999), 113-116 [4] On a plus-construction for algebras over an operad, K-theory 18 (1999), 317-337 [5] (avec F. Chapoton) Pre-Lie algebras and the rooted trees operad, Internat. Math. Res. Notices, 8, (2001), 395-408 [6] (avec R. Kaufmann et R. Penner) Arc operads and arc algebras, Geometry and Topology, 7, (2003), 511-568 [7] (avec D. Chataur) Adem-Cartan operads, Communications in Algebra 33, (2005), 4337-4360 [8] A rigidity theorem for preLie algebras, JPAA, 207, 1, (2006), 1-18 [9] (avec M. Aguiar) The associative operad and the weak order on the symmetric group, Journal of Homotopy and Related Structures, 2, (2007), No. 1, pp. 57-84 [10] (avec F. Chapoton) Relating two Hopf algebras built from an operad, Intern. Math. Res. Notices (2007), No. 24, rnm131-27, 27pages [11] (avec F. Patras) Lie theory for Hopf operads, Journal of Algebra, 319, (2008) pp. 4899-4920 [12] (avec N. Bergeron) The non-symmetric operad pre-Lie is free, Journal of Pure and Applied Algebra 214 (2010), No. 7, pp 1165-1172 [13] From left modules to algebras over an operad: application to combinatorial Hopf algebras, Annales Mathématiques Blaise Pascal 17, No. 1 (2010), 47-96 [14] (avec N. Bergeron) A combinatorial basis for the free Lie algebra of the labelled rooted trees, Journal of Lie Theory 20 (2010), 3-15 [15] (avec B. Richter) An interpretation of En-homology as functor homology, Mathematische Zeitschrift, Volume 269, Numbers 1-2 / Oktober 2011, 193--219 [16] Koszul duality of the category of trees and bar construction for operads, Proc. Int. Conf., in Nankai Series in Pure, Applied Mathematics and Theoretical Physics, Vol. 9 (World Scientific, Singapore, 2012), 107-138 [17] (avec E. Hoefel) Open-closed homotopy algebras and strong homotopy Leibniz pairs through Koszul operad theory, Letters in Math. Phys. 101 (2012),p195--222 DOI 10.1007/s11005-012-0556-7 [18] (avec C. Roitzheim et S. Whitehouse) Derived A-infinity algebras in an operadic context, Algebraic and Geometric Topology 13 (2013) 409-440 [19] (avec E. Hoefel) On the Spectral Sequence of the Swiss-cheese Operad, Algebraic and Geometric Topology 13 (2013) 2039-2060 [20] Pre-Lie systems and obstruction to A_infty-structures over a ring, Journal of Homotopy and Related Structures 9 (2014), No.1, 109-124, DOI 10.1007/s40062-013-0054-3 [21] (avec B. Mesablishvili et R. Wisbauer) Generalised bialgebras and entwined monads and comonads, Journal of Pure and Applied Algebra 219 (2015), 3263-3278 [22] (avec C. Aponte, M. Robertson, S. Whitehouse et S. Ziegenhagen) Representations of derived A-infinity algebras, dans "Women in Topology: Collaborations in Homotopy Theory", Contemporary Mathematics, 641 (2015), pp 1-28 [23] Non-formality of the Swiss-cheese operad, Journal of Topology Journal of Topoloy 8 (4) (2015), 1156-1166, doi:10.1112/jtopol/jtv018 (11 pages) [24] (avec E. Hoefel et J. Stasheff) A-infinity-actions and recognition of relative loop spaces, Topology and its applications 206 (2016) p 126-147 [25] (avec J. Cirici, D. Egas Santander et S. Whitehouse) Derived A-infinity algebras and their homotopies , Topology and its applications 235 (2018) p 214-268 [26] (avec S. Whitehouse et S. Ziegenhagen) On the spectral sequence associated to a multicomplex, J. Pure Appl. Algebra, 224 (2020), No. 2, 528-535 [27] (avec J. Cirici, D. Egas Santander et S. Whitehouse) Model category structures and spectral sequences , Proceedings of the Royal Society of Edinburgh, DOI:10.1017/prm.2019.45 (2019) [28] (avec E. Hoefel et A. Quesney) On the deformation complex of homotopy affine actions,Adv. in Maths. 358 (2019) 106857 [29] (avec X. Fu, A. Guan et S. Whitehouse) Model category structures on multicomplexes, to appear in special issue of Topology and its Applications dedicated to proceedings of the Women in Topology 3 workshop
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