Liao, Hsuan-Yi Atiyah classes and Todd classes of pullback dg Lie algebroids associated with Lie pairs. (English) Zbl 07767278 Commun. Math. Phys. 404, No. 2, 701-734 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53C07 PDFBibTeX XMLCite \textit{H.-Y. Liao}, Commun. Math. Phys. 404, No. 2, 701--734 (2023; Zbl 07767278) Full Text: DOI arXiv
Li, Yong; Sauzin, David; Sun, Shanzhong On the Moyal star product of resurgent series. (Sur le star produit de Moyal des séries résurgentes.) (English. French summary) Zbl 1526.53084 Ann. Inst. Fourier 73, No. 5, 1987-2027 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 PDFBibTeX XMLCite \textit{Y. Li} et al., Ann. Inst. Fourier 73, No. 5, 1987--2027 (2023; Zbl 1526.53084) Full Text: DOI arXiv
Bordemann, Martin; Elchinger, Olivier; Gutt, Simone; Makhlouf, Abdenacer \(L_{\infty}\)-formality check for the Hochschild complex of certain universal enveloping algebras. (English) Zbl 1515.17033 J. Geom. Phys. 187, Article ID 104789, 18 p. (2023). Reviewer: Yining Zhang (Singapura) MSC: 17B56 53D55 16E40 17B70 16S30 17B35 17B63 PDFBibTeX XMLCite \textit{M. Bordemann} et al., J. Geom. Phys. 187, Article ID 104789, 18 p. (2023; Zbl 1515.17033) Full Text: DOI arXiv
Willwacher, Thomas Models for the \(n\)-Swiss cheese operads. (English) Zbl 1503.18013 Trans. Lond. Math. Soc. 8, No. 1, 186-205 (2021). MSC: 18M75 55P62 PDFBibTeX XMLCite \textit{T. Willwacher}, Trans. Lond. Math. Soc. 8, No. 1, 186--205 (2021; Zbl 1503.18013) Full Text: DOI arXiv
Moshayedi, Nima; Musio, Fabio Computation of Kontsevich weights of connection and curvature graphs for symplectic Poisson structures. (English) Zbl 1497.53137 Adv. Theor. Math. Phys. 25, No. 5, 1325-1365 (2021). Reviewer: Gabriele Rembado (Bonn) MSC: 53D55 53D17 18D70 05C90 PDFBibTeX XMLCite \textit{N. Moshayedi} and \textit{F. Musio}, Adv. Theor. Math. Phys. 25, No. 5, 1325--1365 (2021; Zbl 1497.53137) Full Text: DOI arXiv
Markarian, Nikita Weyl \(n\)-algebras and the swiss cheese operad. (English) Zbl 1491.55007 Forum Math. 33, No. 2, 531-545 (2021). Reviewer: Daniel Graves (Leeds) MSC: 55N35 18M60 16E40 PDFBibTeX XMLCite \textit{N. Markarian}, Forum Math. 33, No. 2, 531--545 (2021; Zbl 1491.55007) Full Text: DOI arXiv
Esposito, Chiara; de Kleijn, Niek \(L_\infty \)-resolutions and twisting in the curved context. (English) Zbl 1477.53115 Rev. Mat. Iberoam. 37, No. 4, 1581-1598 (2021). Reviewer: Zhuo Chen (Beijing) MSC: 53D55 PDFBibTeX XMLCite \textit{C. Esposito} and \textit{N. de Kleijn}, Rev. Mat. Iberoam. 37, No. 4, 1581--1598 (2021; Zbl 1477.53115) Full Text: DOI arXiv
Dolgushev, V. A. Stable formality quasi-isomorphisms for Hochschild cochains. (English. French summary) Zbl 1480.18017 Mém. Soc. Math. Fr., Nouv. Sér. 168, 1-108 (2021). Reviewer: Marek Golasiński (Olsztyn) MSC: 18M60 13D03 55P48 55U15 PDFBibTeX XMLCite \textit{V. A. Dolgushev}, Mém. Soc. Math. Fr., Nouv. Sér. 168, 1--108 (2021; Zbl 1480.18017) Full Text: arXiv
Chen, Zhuo; Lang, Honglei; Xiang, Maosong Atiyah classes of strongly homotopy Lie pairs. (English) Zbl 1443.18013 Algebra Colloq. 26, No. 2, 195-230 (2019). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N40 16E45 58C50 PDFBibTeX XMLCite \textit{Z. Chen} et al., Algebra Colloq. 26, No. 2, 195--230 (2019; Zbl 1443.18013) Full Text: DOI arXiv
Arnal, Didier; Chaabouni, Mouna; Hfaiedh, Mabrouka Linear analytic formality. (Formalité linéaire analytique.) (French. English summary) Zbl 1414.53080 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 1, 129-143 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53D55 05C30 PDFBibTeX XMLCite \textit{D. Arnal} et al., Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 1, 129--143 (2019; Zbl 1414.53080) Full Text: DOI
Dolgushev, Vasily A formality quasi-isomorphism for Hochschild cochains over rationals can be constructed recursively. (English) Zbl 1409.53073 Int. Math. Res. Not. 2018, No. 18, 5729-5785 (2018). MSC: 53D55 18D50 PDFBibTeX XMLCite \textit{V. Dolgushev}, Int. Math. Res. Not. 2018, No. 18, 5729--5785 (2018; Zbl 1409.53073) Full Text: DOI arXiv
Merkulov, Sergei; Willwacher, Thomas An explicit two step quantization of Poisson structures and Lie bialgebras. (English) Zbl 1404.53106 Commun. Math. Phys. 364, No. 2, 505-578 (2018). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 53D50 17B63 PDFBibTeX XMLCite \textit{S. Merkulov} and \textit{T. Willwacher}, Commun. Math. Phys. 364, No. 2, 505--578 (2018; Zbl 1404.53106) Full Text: DOI arXiv
Kitchloo, Nitu; Morava, Jack The stable symplectic category and a conjecture of Kontsevich. (English) Zbl 1452.55005 Ausoni, Christian (ed.) et al., An alpine bouquet of algebraic topology. Alpine algebraic and applied topology conference, Saas-Almagell, Switzerland, August 15–21, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 708, 181-199 (2018). Reviewer: Carlos Segovia (Oaxaca) MSC: 55N22 53D55 55P43 18M60 PDFBibTeX XMLCite \textit{N. Kitchloo} and \textit{J. Morava}, Contemp. Math. 708, 181--199 (2018; Zbl 1452.55005) Full Text: DOI arXiv
Turchin, Victor; Willwacher, Thomas Relative (non-)formality of the little cubes operads and the algebraic Cerf lemma. (English) Zbl 1428.18033 Am. J. Math. 140, No. 2, 277-316 (2018). Reviewer: Benoît Fresse (Villeneuve d’Ascq) MSC: 18M60 55P48 55P62 PDFBibTeX XMLCite \textit{V. Turchin} and \textit{T. Willwacher}, Am. J. Math. 140, No. 2, 277--316 (2018; Zbl 1428.18033) Full Text: DOI arXiv Link
Shoikhet, Boris An \(L_\infty \) algebra structure on polyvector fields. (English) Zbl 1393.53092 Sel. Math., New Ser. 24, No. 2, 1691-1728 (2018). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 46L65 PDFBibTeX XMLCite \textit{B. Shoikhet}, Sel. Math., New Ser. 24, No. 2, 1691--1728 (2018; Zbl 1393.53092) Full Text: DOI arXiv
Ikeda, Noriaki Lectures on AKSZ sigma models for physicists. (English) Zbl 1377.81186 Maeda, Yoshiaki (ed.) et al., Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 “Fundamental problems in quantum physics: strings, black holes and quantum information”, and related events in the period 2014–2016. Hackensack, NJ: World Scientific (ISBN 978-981-3144-60-6/hbk; 978-981-3144-62-0/ebook). 79-169 (2017). Reviewer: Akira Asada (Takarazuka) MSC: 81T45 81T10 17B81 81S10 53D55 PDFBibTeX XMLCite \textit{N. Ikeda}, in: Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 ``Fundamental problems in quantum physics: strings, black holes and quantum information'', and related events in the period 2014--2016. Hackensack, NJ: World Scientific. 79--169 (2017; Zbl 1377.81186) Full Text: arXiv
Alekseev, Anton; Rossi, Carlo A.; Torossian, Charles; Willwacher, Thomas Logarithms and deformation quantization. (English) Zbl 1357.53103 Invent. Math. 206, No. 1, 1-28 (2016). Reviewer: Akira Asada (Takarazuka) MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{A. Alekseev} et al., Invent. Math. 206, No. 1, 1--28 (2016; Zbl 1357.53103) Full Text: DOI arXiv
Calaque, Damien; Willwacher, Thomas Triviality of the higher formality theorem. (English) Zbl 1328.18013 Proc. Am. Math. Soc. 143, No. 12, 5181-5193 (2015). Reviewer: Reiner Hermann (Trondheim) MSC: 18D50 16E40 PDFBibTeX XMLCite \textit{D. Calaque} and \textit{T. Willwacher}, Proc. Am. Math. Soc. 143, No. 12, 5181--5193 (2015; Zbl 1328.18013) Full Text: DOI arXiv
Zhu, Can Twisted Poincaré duality for Poisson homology and cohomology of affine Poisson algebras. (English) Zbl 1392.17017 Proc. Am. Math. Soc. 143, No. 5, 1957-1967 (2015). MSC: 17B63 18G60 16S30 PDFBibTeX XMLCite \textit{C. Zhu}, Proc. Am. Math. Soc. 143, No. 5, 1957--1967 (2015; Zbl 1392.17017) Full Text: DOI
Batakidis, P. Reduction algebra and differential operators on Lie groups. (English) Zbl 1316.53090 Beitr. Algebra Geom. 56, No. 1, 175-198 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D25 53D55 PDFBibTeX XMLCite \textit{P. Batakidis}, Beitr. Algebra Geom. 56, No. 1, 175--198 (2015; Zbl 1316.53090) Full Text: DOI arXiv
Pêgas, Luiz Henrique P. On the Hochschild-Kostant-Rosenberg theorem for differentiable manifolds. (English) Zbl 1315.13028 Mat. Contemp. 41, 149-190 (2012). Reviewer: Rémi Arcadias (Sevilla) MSC: 13D10 13N15 16S32 57R25 PDFBibTeX XMLCite \textit{L. H. P. Pêgas}, Mat. Contemp. 41, 149--190 (2012; Zbl 1315.13028) Full Text: arXiv
Rossi, Carlo A. On the compatibility between cup products, the Alekseev-Torossian connection and the Kashiwara-Vergne conjecture. I. (English. French summary) Zbl 1284.17007 C. R., Math., Acad. Sci. Paris 350, No. 17-18, 823-826 (2012). MSC: 17B35 53D55 PDFBibTeX XMLCite \textit{C. A. Rossi}, C. R., Math., Acad. Sci. Paris 350, No. 17--18, 823--826 (2012; Zbl 1284.17007) Full Text: DOI arXiv
Rossi, Carlo A. On the compatibility between cup products, the Alekseev-Torossian connection and the Kashiwara-Vergne conjecture. II. (English. French summary) Zbl 1315.17008 C. R., Math., Acad. Sci. Paris 350, No. 19-20, 871-874 (2012). MSC: 17B35 53D55 PDFBibTeX XMLCite \textit{C. A. Rossi}, C. R., Math., Acad. Sci. Paris 350, No. 19--20, 871--874 (2012; Zbl 1315.17008) Full Text: DOI
Yekutieli, Amnon Twisted deformation quantization of algebraic varieties (survey). (English) Zbl 1250.53081 Ara, P. (ed.) et al., New trends in noncommutative algebra. A conference in honor of Ken Goodearl’s 65th birthday, Washington, Seattle, WA, USA, August 9–14, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5297-2). Contemporary Mathematics 562, 279-297 (2012). Reviewer: Hao Xu (Cambridge) MSC: 53D55 PDFBibTeX XMLCite \textit{A. Yekutieli}, Contemp. Math. 562, 279--297 (2012; Zbl 1250.53081) Full Text: DOI arXiv
Giaquinto, Anthony Topics in algebraic deformation theory. (English) Zbl 1270.16024 Cattaneo, Alberto S. (ed.) et al., Higher structures in geometry and physics. In honor of Murray Gerstenhaber and Jim Stasheff. Basel: Birkhäuser (ISBN 978-0-8176-4734-6/hbk; 978-0-8176-4735-3/ebook). Progress in Mathematics 287, 1-24 (2011). Reviewer: Jerry M. Lodder (Las Cruces) MSC: 16S80 16-02 16E40 PDFBibTeX XMLCite \textit{A. Giaquinto}, Prog. Math. 287, 1--24 (2011; Zbl 1270.16024) Full Text: arXiv
Boutet de Monvel, Louis Homogeneous star products. (English) Zbl 1175.19003 Lett. Math. Phys. 88, No. 1-3, 31-38 (2009). Reviewer: Cristian Costinescu (Bucureşti) MSC: 19L47 32A25 58J20 58J40 53D55 PDFBibTeX XMLCite \textit{L. Boutet de Monvel}, Lett. Math. Phys. 88, No. 1--3, 31--38 (2009; Zbl 1175.19003) Full Text: DOI
Hamilton, Alastair; Lazarev, Andrey Characteristic classes of \(A_\infty\)-algebras. (English) Zbl 1225.17023 J. Homotopy Relat. Struct. 3, No. 1, 65-111 (2008). MSC: 17B56 57R56 53D55 14B20 17B66 81Q30 81T45 PDFBibTeX XMLCite \textit{A. Hamilton} and \textit{A. Lazarev}, J. Homotopy Relat. Struct. 3, No. 1, 65--111 (2008; Zbl 1225.17023) Full Text: arXiv EMIS
Ferrario, Andrea Poisson sigma model with branes and hyperelliptic Riemann surfaces. (English) Zbl 1152.81433 J. Math. Phys. 49, No. 9, 092301, 23 p. (2008). MSC: 81T45 14H45 53D55 PDFBibTeX XMLCite \textit{A. Ferrario}, J. Math. Phys. 49, No. 9, 092301, 23 p. (2008; Zbl 1152.81433) Full Text: DOI arXiv
Yekutieli, Amnon Mixed resolutions and simplicial sections. (English) Zbl 1143.14002 Isr. J. Math. 162, 1-27 (2007). Reviewer: Marek Golasiński (Toruń) MSC: 14A15 13D02 18E30 PDFBibTeX XMLCite \textit{A. Yekutieli}, Isr. J. Math. 162, 1--27 (2007; Zbl 1143.14002) Full Text: DOI arXiv
Tang, Xiang Deformation quantization of pseudo-symplectic (Poisson) groupoids. (English) Zbl 1119.53061 Geom. Funct. Anal. 16, No. 3, 731-766 (2006). Reviewer: Stefan Berceanu (Bucureşti) MSC: 53D55 81S10 22A22 58H05 PDFBibTeX XMLCite \textit{X. Tang}, Geom. Funct. Anal. 16, No. 3, 731--766 (2006; Zbl 1119.53061) Full Text: DOI arXiv
Arnal, Didier; Gammella, Angela; Masmoudi, Mohsen Chevalley cohomology for Kontsevich’s graphs. (English) Zbl 1156.53321 Pac. J. Math. 218, No. 2, 201-239 (2005). MSC: 53D55 17B56 PDFBibTeX XMLCite \textit{D. Arnal} et al., Pac. J. Math. 218, No. 2, 201--239 (2005; Zbl 1156.53321) Full Text: DOI
Cattaneo, Alberto; Keller, Bernhard; Torossian, Charles; Bruguières, Alain Deformation, quantization, Lie theory. (Déformation, quantification, théorie de Lie.) (English, French) Zbl 1093.53095 Panoramas et Synthèses 20. Paris: Société Mathématique de France (ISBN 2-85629-183-X/pbk). vii, 186 p. (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 16E40 53D17 81S10 22E45 PDFBibTeX XMLCite \textit{A. Cattaneo} et al., Déformation, quantification, théorie de Lie. Paris: Société Mathématique de France (SMF) (2005; Zbl 1093.53095) Backlinks: MO
Yekutieli, Amnon Deformation quantization in algebraic geometry. (English) Zbl 1085.53081 Adv. Math. 198, No. 1, 383-432 (2005); corrigendum ibid. 217, No. 6, 2897-2906 (2008). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 14D15 13D10 16S80 PDFBibTeX XMLCite \textit{A. Yekutieli}, Adv. Math. 198, No. 1, 383--432 (2005; Zbl 1085.53081) Full Text: DOI arXiv
Gammella, Angela; Halbout, Gilles \(G_\infty\)-formality theorem in terms of graphs and associated Chevalley-Eilenberg-Harrison cohomology. (English) Zbl 1084.18007 Commun. Algebra 33, No. 10, 3515-3528 (2005). Reviewer: Domenico Fiorenza (Roma) MSC: 18D50 16S80 16E40 53D55 PDFBibTeX XMLCite \textit{A. Gammella} and \textit{G. Halbout}, Commun. Algebra 33, No. 10, 3515--3528 (2005; Zbl 1084.18007) Full Text: DOI
Halbout, Gilles Globalization of Tamarkin’s formality theorem. (English) Zbl 1081.53079 Lett. Math. Phys. 71, No. 1, 39-48 (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 81T70 16E40 PDFBibTeX XMLCite \textit{G. Halbout}, Lett. Math. Phys. 71, No. 1, 39--48 (2005; Zbl 1081.53079) Full Text: DOI
Cattaneo, Alberto S. Formality and star products (lecture notes taken by D. Indelicato). (English) Zbl 1077.53074 Gutt, Simone (ed.) et al., Poisson geometry, deformation quantisation and group representations. Cambridge: Cambridge University Press (ISBN 0-521-61505-4/pbk). London Mathematical Society Lecture Note Series 323, 79-144 (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 PDFBibTeX XMLCite \textit{A. S. Cattaneo}, Lond. Math. Soc. Lect. Note Ser. 323, 79--144 (2005; Zbl 1077.53074) Backlinks: MO
Cattaneo, Alberto S.; Dherin, Benoit; Felder, Giovanni Formal symplectic groupoid. (English) Zbl 1072.58008 Commun. Math. Phys. 253, No. 3, 645-674 (2005). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58H05 53D05 PDFBibTeX XMLCite \textit{A. S. Cattaneo} et al., Commun. Math. Phys. 253, No. 3, 645--674 (2005; Zbl 1072.58008) Full Text: DOI arXiv Link
Arnal, Didier Kontsevich formality and cohomologies for graphs. (English) Zbl 1066.53143 Lett. Math. Phys. 69, Spec. Iss., 205-222 (2004). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D55 53D50 46L65 17B63 53-02 PDFBibTeX XMLCite \textit{D. Arnal}, Lett. Math. Phys. 69, 205--222 (2004; Zbl 1066.53143) Full Text: DOI
Andler, Martin; Sahi, Siddhartha; Torossian, Charles Convolution of invariant distributions: proof of the Kashiwara-Vergne conjecture. (English) Zbl 1059.22008 Lett. Math. Phys. 69, Spec. Iss., 177-203 (2004). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E30 16S30 53D55 16S32 53D17 PDFBibTeX XMLCite \textit{M. Andler} et al., Lett. Math. Phys. 69, 177--203 (2004; Zbl 1059.22008) Full Text: DOI arXiv
Polyak, Michael Quantization of linear Poisson structures and degrees of maps. (English) Zbl 1056.53060 Lett. Math. Phys. 66, No. 1-2, 15-35 (2003). Reviewer: Gheorghe Pitiş (Braşov) MSC: 53D55 55R80 57R35 PDFBibTeX XMLCite \textit{M. Polyak}, Lett. Math. Phys. 66, No. 1--2, 15--35 (2003; Zbl 1056.53060) Full Text: DOI arXiv
Fulp, Ron; Lada, Tom; Stasheff, Jim sh-Lie algebras induced by gauge transformations. (English) Zbl 1042.81035 Commun. Math. Phys. 231, No. 1, 25-43 (2002). MSC: 81R10 17B81 81T13 PDFBibTeX XMLCite \textit{R. Fulp} et al., Commun. Math. Phys. 231, No. 1, 25--43 (2002; Zbl 1042.81035) Full Text: DOI arXiv
Mochizuki, Takuro On the morphism of Duflo-Kirillov type. (English) Zbl 1134.53304 J. Geom. Phys. 41, No. 1-2, 73-113 (2002). MSC: 53D55 17B35 17B37 57M27 PDFBibTeX XMLCite \textit{T. Mochizuki}, J. Geom. Phys. 41, No. 1--2, 73--113 (2002; Zbl 1134.53304) Full Text: DOI
[Arbarello, Enrico; Manetti, Marco; Canonaco, Alberto; Gaiffi, Giovanni; Bini, Gilberto; Grassi, Michele; de Bartolomeis, Paolo; Silvotti, Roberto; De Vita, Federico; Polito, Marzia; Fiorenza, Domenico] Algebraic geometry seminars. 1998–1999. Papers from the seminars held at the Scuola Normale Superiore, Pisa, 1998–1999. (Seminari di geometria algebrica. 1998–1999.) (Italian) Zbl 1058.53511 Pisa: Scuola Normale Superiore. 287 p. (1999). MSC: 53D55 53-06 00B15 14J32 14N35 16E45 17B69 18D50 18E30 53D45 PDFBibTeX XMLCite Seminari di geometria algebrica. 1998--1999 (Italian). Pisa: Scuola Normale Superiore (1999; Zbl 1058.53511)
Dito, Giuseppe Kontsevich star product on the dual of a Lie algebra. (English) Zbl 0957.53047 Lett. Math. Phys. 48, No. 4, 307-322 (1999). MSC: 53D55 17B37 58H15 PDFBibTeX XMLCite \textit{G. Dito}, Lett. Math. Phys. 48, No. 4, 307--322 (1999; Zbl 0957.53047) Full Text: DOI arXiv
Oesterlé, Joseph Formal quantization of Poisson manifolds [after Maxim Kontsevich]. (Quantification formelle des variétés de Poisson [d’après Maxim Kontsevich].) (French) Zbl 1083.53505 Séminaire Bourbaki. Volume 1997/98. Exposés 835–849. Paris: Société Mathématique de France. Astérisque 252, 211-229, Exp. No. 843 (1998). MSC: 53D55 53D17 81S10 PDFBibTeX XMLCite \textit{J. Oesterlé}, Astérisque 252, 211--229, Exp. No. 843 (1998; Zbl 1083.53505) Full Text: Numdam EuDML