Chemla, Sophie Differential calculus over double Lie algebroids. (English) Zbl 07227225 J. Noncommut. Geom. 14, No. 1, 191-222 (2020). Reviewer: Geoffrey Powell (Angers) MSC: 16W10 16B99 58H05 53D17 PDF BibTeX XML Cite \textit{S. Chemla}, J. Noncommut. Geom. 14, No. 1, 191--222 (2020; Zbl 07227225) Full Text: DOI
Mandal, Ashis; Mishra, Satyendra Kumar Deformation of hom-Lie-Rinehart algebras. (English) Zbl 07182974 Commun. Algebra 48, No. 4, 1653-1670 (2020). MSC: 17A30 17B55 17B61 PDF BibTeX XML Cite \textit{A. Mandal} and \textit{S. K. Mishra}, Commun. Algebra 48, No. 4, 1653--1670 (2020; Zbl 07182974) Full Text: DOI
Grady, Ryan; Gwilliam, Owen Lie algebroids as \(L_{\infty}\) spaces. (English) Zbl 1439.58011 J. Inst. Math. Jussieu 19, No. 2, 487-535 (2020). Reviewer: Marta Macho Stadler (Leioa) MSC: 58H15 53D17 14D23 PDF BibTeX XML Cite \textit{R. Grady} and \textit{O. Gwilliam}, J. Inst. Math. Jussieu 19, No. 2, 487--535 (2020; Zbl 1439.58011) Full Text: DOI
Crainic, Marius; Mestre, João Nuno Measures on differentiable stacks. (English) Zbl 1439.58010 J. Noncommut. Geom. 13, No. 4, 1235-1294 (2019). Reviewer: Marta Macho Stadler (Leioa) MSC: 58H05 22A22 PDF BibTeX XML Cite \textit{M. Crainic} and \textit{J. N. Mestre}, J. Noncommut. Geom. 13, No. 4, 1235--1294 (2019; Zbl 1439.58010) Full Text: DOI
Crainic, Marius; Fernandes, Rui Loja; Martínez Torres, David Poisson manifolds of compact types (PMCT 1). (English) Zbl 1432.53116 J. Reine Angew. Math. 756, 101-149 (2019). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 53D17 53D05 PDF BibTeX XML Cite \textit{M. Crainic} et al., J. Reine Angew. Math. 756, 101--149 (2019; Zbl 1432.53116) Full Text: DOI arXiv
Das, Apurba; Gondhali, Shilpa; Mukherjee, Goutam Nambu structures on Lie algebroids and their modular classes. (English) Zbl 07111404 Proc. Indian Acad. Sci., Math. Sci. 129, No. 4, Paper No. 59, 36 p. (2019). MSC: 17A32 17A42 53C15 53D17 PDF BibTeX XML Cite \textit{A. Das} et al., Proc. Indian Acad. Sci., Math. Sci. 129, No. 4, Paper No. 59, 36 p. (2019; Zbl 07111404) Full Text: DOI arXiv
Drummond, Thiago; Egea, Leandro Differential forms with values in VB-groupoids and its Morita invariance. (English) Zbl 1406.58014 J. Geom. Phys. 135, 42-69 (2019). Reviewer: Marta Macho Stadler (Leioa) MSC: 58H05 PDF BibTeX XML Cite \textit{T. Drummond} and \textit{L. Egea}, J. Geom. Phys. 135, 42--69 (2019; Zbl 1406.58014) Full Text: DOI
Frejlich, Pedro Morita invariance of intrinsic characteristic classes of Lie algebroids. (English) Zbl 1407.53090 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 124, 12 p. (2018). Reviewer: Andrew Bruce (Warszawa) MSC: 53D17 57R20 PDF BibTeX XML Cite \textit{P. Frejlich}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 124, 12 p. (2018; Zbl 1407.53090) Full Text: DOI arXiv
Balcerzak, Bogdan Chern-Simons forms for \(\mathbb{R}\)-linear connections on Lie algebroids. (English) Zbl 1404.53030 Int. J. Math. 29, No. 13, Article ID 1850094, 13 p. (2018). MSC: 53C05 58H05 17B56 PDF BibTeX XML Cite \textit{B. Balcerzak}, Int. J. Math. 29, No. 13, Article ID 1850094, 13 p. (2018; Zbl 1404.53030) Full Text: DOI
Martínez-Torres, David; Miranda, Eva Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds. (English) Zbl 1403.53070 Regul. Chaotic Dyn. 23, No. 1, 47-53 (2018). Reviewer: Madeleine Jotz Lean (Göttingen) MSC: 53D17 53C12 57R30 PDF BibTeX XML Cite \textit{D. Martínez-Torres} and \textit{E. Miranda}, Regul. Chaotic Dyn. 23, No. 1, 47--53 (2018; Zbl 1403.53070) Full Text: DOI arXiv
Mandal, Ashis; Mishra, Satyendra Kumar On Hom-Gerstenhaber algebras, and Hom-Lie algebroids. (English) Zbl 1430.17062 J. Geom. Phys. 133, 287-302 (2018). MSC: 17B61 17B10 53D17 PDF BibTeX XML Cite \textit{A. Mandal} and \textit{S. K. Mishra}, J. Geom. Phys. 133, 287--302 (2018; Zbl 1430.17062) Full Text: DOI
Gracia-Saz, Alfonso; Jotz Lean, Madeleine; Mackenzie, K. C. H.; Mehta, R. A. Double Lie algebroids and representations up to homotopy. (English) Zbl 1409.53066 J. Homotopy Relat. Struct. 13, No. 2, 287-319 (2018). Reviewer: Marco Zambon (Madrid) MSC: 53D17 17B66 18D05 PDF BibTeX XML Cite \textit{A. Gracia-Saz} et al., J. Homotopy Relat. Struct. 13, No. 2, 287--319 (2018; Zbl 1409.53066) Full Text: DOI
Gualtieri, Marco; Li, Songhao; Pym, Brent The Stokes groupoids. (English) Zbl 1394.34186 J. Reine Angew. Math. 739, 81-119 (2018). Reviewer: Pascal Remy (Carrières-sur-Seine) MSC: 34M35 34M40 14B25 PDF BibTeX XML Cite \textit{M. Gualtieri} et al., J. Reine Angew. Math. 739, 81--119 (2018; Zbl 1394.34186) Full Text: DOI arXiv
Lang, Honglei; Liu, Zhangju Coadjoint orbits of Lie groupoids. (English) Zbl 1388.58013 J. Geom. Phys. 129, 217-232 (2018). MSC: 58H05 53D17 PDF BibTeX XML Cite \textit{H. Lang} and \textit{Z. Liu}, J. Geom. Phys. 129, 217--232 (2018; Zbl 1388.58013) Full Text: DOI
Pedroza, Andrés; Velasco-Barreras, Eduardo; Vorobiev, Yury Unimodularity criteria for Poisson structures on foliated manifolds. (English) Zbl 1387.53038 Lett. Math. Phys. 108, No. 3, 861-882 (2018). MSC: 53C12 53C05 53D17 PDF BibTeX XML Cite \textit{A. Pedroza} et al., Lett. Math. Phys. 108, No. 3, 861--882 (2018; Zbl 1387.53038) Full Text: DOI
Couéraud, Benjamin Dissections and automorphisms of regular Courant algebroids. (English) Zbl 1367.53061 J. Geom. Phys. 119, 224-255 (2017). MSC: 53D17 PDF BibTeX XML Cite \textit{B. Couéraud}, J. Geom. Phys. 119, 224--255 (2017; Zbl 1367.53061) Full Text: DOI arXiv
Caseiro, Raquel The modular class of a Dirac map. (English) Zbl 1336.53091 J. Geom. Phys. 104, 19-29 (2016). MSC: 53D17 58H05 PDF BibTeX XML Cite \textit{R. Caseiro}, J. Geom. Phys. 104, 19--29 (2016; Zbl 1336.53091) Full Text: DOI arXiv
Jotz Lean, Madeleine; Stiénon, Mathieu; Xu, Ping Glanon groupoids. (English) Zbl 1337.32035 Math. Ann. 364, No. 1-2, 485-518 (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 32M99 PDF BibTeX XML Cite \textit{M. Jotz Lean} et al., Math. Ann. 364, No. 1--2, 485--518 (2016; Zbl 1337.32035) Full Text: DOI arXiv
Vitagliano, Luca Representations of homotopy Lie-Rinehart algebras. (English) Zbl 1371.17018 Math. Proc. Camb. Philos. Soc. 158, No. 1, 155-191 (2015). MSC: 17B55 53D17 PDF BibTeX XML Cite \textit{L. Vitagliano}, Math. Proc. Camb. Philos. Soc. 158, No. 1, 155--191 (2015; Zbl 1371.17018) Full Text: DOI arXiv
Krähmer, Ulrich; Rovi, Ana A Lie-Rinehart algebra with no antipode. (English) Zbl 1381.17010 Commun. Algebra 43, No. 10, 4049-4053 (2015). MSC: 17B55 16S30 PDF BibTeX XML Cite \textit{U. Krähmer} and \textit{A. Rovi}, Commun. Algebra 43, No. 10, 4049--4053 (2015; Zbl 1381.17010) Full Text: DOI arXiv
Jelenc, B.; Mrčun, J. Homotopy sequence of a topological groupoid with a basegroup and an obstruction to presentability of proper regular Lie groupoids. (English) Zbl 1329.22005 J. Homotopy Relat. Struct. 10, No. 3, 519-536 (2015). Reviewer: Marta Macho Stadler (Leioa) MSC: 22A22 55Q05 58H05 PDF BibTeX XML Cite \textit{B. Jelenc} and \textit{J. Mrčun}, J. Homotopy Relat. Struct. 10, No. 3, 519--536 (2015; Zbl 1329.22005) Full Text: DOI arXiv
Chemla, Sophie; Gavarini, Fabio Duality functors for quantum groupoids. (English) Zbl 1401.53069 J. Noncommut. Geom. 9, No. 2, 287-358 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 16T05 17B62 PDF BibTeX XML Cite \textit{S. Chemla} and \textit{F. Gavarini}, J. Noncommut. Geom. 9, No. 2, 287--358 (2015; Zbl 1401.53069) Full Text: DOI arXiv
Yang, Hyun Seok Quantization of emergent gravity. (English) Zbl 1310.83015 Int. J. Mod. Phys. A 30, No. 4-5, Article ID 1550016, 115 p. (2015). MSC: 83C45 81R60 81T13 81V17 81Q70 83C65 PDF BibTeX XML Cite \textit{H. S. Yang}, Int. J. Mod. Phys. A 30, No. 4--5, Article ID 1550016, 115 p. (2015; Zbl 1310.83015) Full Text: DOI arXiv
Fedorov, Yuri N.; García-Naranjo, Luis C.; Marrero, Juan C. Unimodularity and preservation of volumes in nonholonomic mechanics. (English) Zbl 1347.37047 J. Nonlinear Sci. 25, No. 1, 203-246 (2015). MSC: 37C40 37J60 70F25 70G45 70G65 PDF BibTeX XML Cite \textit{Y. N. Fedorov} et al., J. Nonlinear Sci. 25, No. 1, 203--246 (2015; Zbl 1347.37047) 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 PDF BibTeX XML Cite \textit{C. Zhu}, Proc. Am. Math. Soc. 143, No. 5, 1957--1967 (2015; Zbl 1392.17017) Full Text: DOI
Pflaum, M. J.; Posthuma, H.; Tang, X. The localized longitudinal index theorem for Lie groupoids and the Van Est map. (English) Zbl 1408.58016 Adv. Math. 270, 223-262 (2015). MSC: 58H05 19D55 22E41 PDF BibTeX XML Cite \textit{M. J. Pflaum} et al., Adv. Math. 270, 223--262 (2015; Zbl 1408.58016) Full Text: DOI arXiv
Grabowski, Janusz Modular classes revisited. (English) Zbl 1343.53082 Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460042, 11 p. (2014). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 17B56 17B66 17B70 58A32 58C50 PDF BibTeX XML Cite \textit{J. Grabowski}, Int. J. Geom. Methods Mod. Phys. 11, No. 9, Article ID 1460042, 11 p. (2014; Zbl 1343.53082) Full Text: DOI arXiv
Pflaum, M. J.; Posthuma, H.; Tang, X. The index of geometric operators on Lie groupoids. (English) Zbl 1300.22002 Indag. Math., New Ser. 25, No. 5, 1135-1153 (2014). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22A22 53D17 53D18 PDF BibTeX XML Cite \textit{M. J. Pflaum} et al., Indag. Math., New Ser. 25, No. 5, 1135--1153 (2014; Zbl 1300.22002) Full Text: DOI arXiv
Mehta, Rajan Amit Lie algebroid modules and representations up to homotopy. (English) Zbl 1301.58009 Indag. Math., New Ser. 25, No. 5, 1122-1134 (2014). MSC: 58H05 PDF BibTeX XML Cite \textit{R. A. Mehta}, Indag. Math., New Ser. 25, No. 5, 1122--1134 (2014; Zbl 1301.58009) Full Text: DOI arXiv
Jotz Lean, M.; Ortiz, C. Foliated groupoids and infinitesimal ideal systems. (English) Zbl 1393.58014 Indag. Math., New Ser. 25, No. 5, 1019-1053 (2014). MSC: 58H05 53C12 PDF BibTeX XML Cite \textit{M. Jotz Lean} and \textit{C. Ortiz}, Indag. Math., New Ser. 25, No. 5, 1019--1053 (2014; Zbl 1393.58014) Full Text: DOI
Androulidakis, Iakovos; Zambon, Marco Holonomy transformations for singular foliations. (English) Zbl 1294.53025 Adv. Math. 256, 348-397 (2014). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 53C12 53C29 22A25 93B18 PDF BibTeX XML Cite \textit{I. Androulidakis} and \textit{M. Zambon}, Adv. Math. 256, 348--397 (2014; Zbl 1294.53025) Full Text: DOI arXiv
Loja Fernandes, Rui; Struchiner, Ivan The classifying Lie algebroid of a geometric structure. I: Classes of coframes. (English) Zbl 1285.53018 Trans. Am. Math. Soc. 366, No. 5, 2419-2462 (2014). MSC: 53C10 53A55 58D27 58H05 58A15 PDF BibTeX XML Cite \textit{R. Loja Fernandes} and \textit{I. Struchiner}, Trans. Am. Math. Soc. 366, No. 5, 2419--2462 (2014; Zbl 1285.53018) Full Text: DOI arXiv
Caseiro, Raquel; Fernandes, Rui Loja The modular class of a Poisson map. (La classe modulaire d’une application de Poisson.) (English. French summary) Zbl 1432.53115 Ann. Inst. Fourier 63, No. 4, 1285-1329 (2013). MSC: 53D17 58H05 22A22 PDF BibTeX XML Cite \textit{R. Caseiro} and \textit{R. L. Fernandes}, Ann. Inst. Fourier 63, No. 4, 1285--1329 (2013; Zbl 1432.53115) Full Text: DOI arXiv
Caseiro, Raquel The modular class of a Lie algebroid comorphism. (English) Zbl 1287.53071 Rev. Math. Phys. 25, No. 10, Article ID 1343001, 8 p. (2013). Reviewer: Cristian Ida (Brasov) MSC: 53D17 58H05 PDF BibTeX XML Cite \textit{R. Caseiro}, Rev. Math. Phys. 25, No. 10, Article ID 1343001, 8 p. (2013; Zbl 1287.53071) Full Text: DOI
Balcerzak, Bogdan; Kubarski, Jan The Koszul homomorphism for a pair of Lie algebras in the theory of exotic characteristic classes of Lie algebroids. (English) Zbl 1297.57059 Topology Appl. 160, No. 12, 1384-1394 (2013). Reviewer: Zhaohu Nie (Altoona) MSC: 57R20 58H05 17B56 53C05 PDF BibTeX XML Cite \textit{B. Balcerzak} and \textit{J. Kubarski}, Topology Appl. 160, No. 12, 1384--1394 (2013; Zbl 1297.57059) Full Text: DOI arXiv
Bruzzo, Ugo; Rubtsov, Vladimir On localization in holomorphic equivariant cohomology. (English) Zbl 1272.32017 Cent. Eur. J. Math. 10, No. 4, 1442-1454 (2012). MSC: 32L10 53C12 53C15 53D17 55N25 55N91 PDF BibTeX XML Cite \textit{U. Bruzzo} and \textit{V. Rubtsov}, Cent. Eur. J. Math. 10, No. 4, 1442--1454 (2012; Zbl 1272.32017) Full Text: DOI arXiv
Grabowski, Janusz Modular classes of skew algebroid relations. (English) Zbl 1287.53072 Transform. Groups 17, No. 4, 989-1010 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 58B20 PDF BibTeX XML Cite \textit{J. Grabowski}, Transform. Groups 17, No. 4, 989--1010 (2012; Zbl 1287.53072) Full Text: DOI arXiv
Bonechi, F.; Ciccoli, N.; Staffolani, N.; Tarlini, M. The quantization of the symplectic groupoid of the standard Podlès sphere. (English) Zbl 1245.53063 J. Geom. Phys. 62, No. 8, 1851-1865 (2012). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 22A22 PDF BibTeX XML Cite \textit{F. Bonechi} et al., J. Geom. Phys. 62, No. 8, 1851--1865 (2012; Zbl 1245.53063) Full Text: DOI arXiv
Zucchini, Roberto A heterotic sigma model with novel target geometry. (English) Zbl 1250.81099 J. High Energy Phys. 2011, No. 4, Paper No. 064, 51 p. (2011). MSC: 81T45 81T40 81T60 81T70 PDF BibTeX XML Cite \textit{R. Zucchini}, J. High Energy Phys. 2011, No. 4, Paper No. 064, 51 p. (2011; Zbl 1250.81099) Full Text: DOI arXiv
Boucetta, Mohamed Riemannian geometry of Lie algebroids. (English) Zbl 1267.53085 J. Egypt. Math. Soc. 19, No. 1-2, 57-70 (2011). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D17 53B20 22A22 PDF BibTeX XML Cite \textit{M. Boucetta}, J. Egypt. Math. Soc. 19, No. 1--2, 57--70 (2011; Zbl 1267.53085) Full Text: DOI arXiv
Guillemin, Victor; Miranda, Eva; Pires, Ana Rita Codimension one symplectic foliations and regular Poisson structures. (English) Zbl 1244.53093 Bull. Braz. Math. Soc. (N.S.) 42, No. 4, 607-623 (2011). Reviewer: Liviu Popescu (Craiova) MSC: 53D17 53D05 53C12 PDF BibTeX XML Cite \textit{V. Guillemin} et al., Bull. Braz. Math. Soc. (N.S.) 42, No. 4, 607--623 (2011; Zbl 1244.53093) Full Text: DOI arXiv
Heluani, Reimundo; Zabzine, Maxim Superconformal structures on generalized Calabi-Yau metric manifolds. (English) Zbl 1226.53071 Commun. Math. Phys. 306, No. 2, 333-364 (2011). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53C55 14J32 32Q25 17B81 53C80 PDF BibTeX XML Cite \textit{R. Heluani} and \textit{M. Zabzine}, Commun. Math. Phys. 306, No. 2, 333--364 (2011; Zbl 1226.53071) Full Text: DOI arXiv
Ortenzi, Giovanni; Rubtsov, Vladimir; Tagne Pelap, Serge Roméo On the Heisenberg invariance and the elliptic Poisson tensors. (English) Zbl 1276.17011 Lett. Math. Phys. 96, No. 1-3, 263-284 (2011). MSC: 17B63 37J35 53D17 PDF BibTeX XML Cite \textit{G. Ortenzi} et al., Lett. Math. Phys. 96, No. 1--3, 263--284 (2011; Zbl 1276.17011) Full Text: DOI arXiv
Bruzzo, U.; Rubtsov, V. N. Cohomology of skew-holomorphic Lie algebroids. (English) Zbl 1252.32034 Theor. Math. Phys. 165, No. 3, 1598-1609 (2010) and Teor. Mat. Fiz. 165, No. 3, 426-439 (2010). MSC: 32Q99 PDF BibTeX XML Cite \textit{U. Bruzzo} and \textit{V. N. Rubtsov}, Theor. Math. Phys. 165, No. 3, 1598--1609 (2010; Zbl 1252.32034) Full Text: DOI arXiv
Abadoğlu, Ender; Ortaçgil, Ercüment Intrinsic characteristic classes of a local Lie group. (English) Zbl 1250.22007 Port. Math. (N.S.) 67, No. 4, 453-483 (2010). Reviewer: Paolo Casati (Milano) MSC: 22E05 58H05 PDF BibTeX XML Cite \textit{E. Abadoğlu} and \textit{E. Ortaçgil}, Port. Math. (N.S.) 67, No. 4, 453--483 (2010; Zbl 1250.22007) Full Text: DOI
Vaisman, Izu Characteristic classes of Lie algebroid morphisms. (English) Zbl 1202.53079 Differ. Geom. Appl. 28, No. 6, 635-647 (2010). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 57R20 PDF BibTeX XML Cite \textit{I. Vaisman}, Differ. Geom. Appl. 28, No. 6, 635--647 (2010; Zbl 1202.53079) Full Text: DOI arXiv
Zucchini, Roberto The gauging of BV algebras. (English) Zbl 1196.81212 J. Geom. Phys. 60, No. 11, 1860-1880 (2010). MSC: 81T45 53D50 81R15 81T70 81T13 14N35 PDF BibTeX XML Cite \textit{R. Zucchini}, J. Geom. Phys. 60, No. 11, 1860--1880 (2010; Zbl 1196.81212) Full Text: DOI arXiv
Chen, Zhuo; Stiénon, Mathieu; Xu, Ping Geometry of Maurer-Cartan elements on complex manifolds. (English) Zbl 1211.53097 Commun. Math. Phys. 297, No. 1, 169-187 (2010). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 32Q99 17B99 PDF BibTeX XML Cite \textit{Z. Chen} et al., Commun. Math. Phys. 297, No. 1, 169--187 (2010; Zbl 1211.53097) Full Text: DOI arXiv
Lyakhovich, S. L.; Mosman, E. A.; Sharapov, A. A. Characteristic classes of Q-manifolds: classification and applications. (English) Zbl 1188.58003 J. Geom. Phys. 60, No. 5, 729-759 (2010). MSC: 58A50 81T70 57R32 PDF BibTeX XML Cite \textit{S. L. Lyakhovich} et al., J. Geom. Phys. 60, No. 5, 729--759 (2010; Zbl 1188.58003) Full Text: DOI arXiv
Heluani, Reimundo; Zabzine, Maxim Generalized Calabi-Yau manifolds and the chiral de Rham complex. (English) Zbl 1269.53077 Adv. Math. 223, No. 5, 1815-1844 (2010). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53D18 14J32 17B69 PDF BibTeX XML Cite \textit{R. Heluani} and \textit{M. Zabzine}, Adv. Math. 223, No. 5, 1815--1844 (2010; Zbl 1269.53077) Full Text: DOI arXiv
Gracia-Saz, Alfonso; Mehta, Rajan Amit Lie algebroid structures on double vector bundles and representation theory of Lie algebroids. (English) Zbl 1183.22002 Adv. Math. 223, No. 4, 1236-1275 (2010). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22A30 53D17 PDF BibTeX XML Cite \textit{A. Gracia-Saz} and \textit{R. A. Mehta}, Adv. Math. 223, No. 4, 1236--1275 (2010; Zbl 1183.22002) Full Text: DOI arXiv
Bruzzo, U.; Cirio, L.; Rossi, P.; Rubtsov, V. Equivariant cohomology and localization for Lie algebroids. (English. Russian original) Zbl 1271.53073 Funct. Anal. Appl. 43, No. 1, 18-29 (2009); translation from Funkts. Anal. Prilozh. 43, No. 1, 22-26 (2009). MSC: 53D17 PDF BibTeX XML Cite \textit{U. Bruzzo} et al., Funct. Anal. Appl. 43, No. 1, 18--29 (2009; Zbl 1271.53073); translation from Funkts. Anal. Prilozh. 43, No. 1, 22--26 (2009) Full Text: DOI
Weinstein, Alan The volume of a differentiable stack. (English) Zbl 1185.58007 Lett. Math. Phys. 90, No. 1-3, 353-371 (2009). Reviewer: Osman Mucuk (Kayseri) MSC: 58H05 53D17 PDF BibTeX XML Cite \textit{A. Weinstein}, Lett. Math. Phys. 90, No. 1--3, 353--371 (2009; Zbl 1185.58007) Full Text: DOI arXiv
Laurent-Gengoux, Camille; Stiénon, Mathieu; Xu, Ping Integration of holomorphic Lie algebroids. (English) Zbl 1177.53075 Math. Ann. 345, No. 4, 895-923 (2009). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D10 PDF BibTeX XML Cite \textit{C. Laurent-Gengoux} et al., Math. Ann. 345, No. 4, 895--923 (2009; Zbl 1177.53075) Full Text: DOI arXiv
Bonechi, Francesco; Zabzine, Maxim Poisson sigma model on the sphere. (English) Zbl 1247.53092 Commun. Math. Phys. 285, No. 3, 1033-1063 (2009). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 58D30 81T40 81T70 PDF BibTeX XML Cite \textit{F. Bonechi} and \textit{M. Zabzine}, Commun. Math. Phys. 285, No. 3, 1033--1063 (2009; Zbl 1247.53092) Full Text: DOI arXiv
Kosmann-Schwarzbach, Y.; Laurent-Gengoux, C.; Weinstein, A. Modular classes of Lie algebroid morphisms. (English) Zbl 1167.53068 Transform. Groups 13, No. 3-4, 727-755 (2008). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D50 53D55 PDF BibTeX XML Cite \textit{Y. Kosmann-Schwarzbach} et al., Transform. Groups 13, No. 3--4, 727--755 (2008; Zbl 1167.53068) Full Text: DOI
Crainic, Marius; Moerdijk, Ieke Deformations of Lie brackets: Cohomological aspects. (English) Zbl 1159.58011 J. Eur. Math. Soc. (JEMS) 10, No. 4, 1037-1059 (2008). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 58H15 17B56 57R30 53D17 58H05 16W25 PDF BibTeX XML Cite \textit{M. Crainic} and \textit{I. Moerdijk}, J. Eur. Math. Soc. (JEMS) 10, No. 4, 1037--1059 (2008; Zbl 1159.58011) Full Text: DOI Link
Chemla, Sophie Formality theorem with coefficients in a module. (English) Zbl 1149.17012 Transform. Groups 13, No. 1, 91-123 (2008). Reviewer: Maido Rahula (Tartu) MSC: 17B55 17B66 58D27 58H99 PDF BibTeX XML Cite \textit{S. Chemla}, Transform. Groups 13, No. 1, 91--123 (2008; Zbl 1149.17012) Full Text: DOI arXiv
Damianou, Pantelis A.; Fernandes, Rui Loja Integrable hierarchies and the modular class. (English) Zbl 1147.53065 Ann. Inst. Fourier 58, No. 1, 107-137 (2008). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53D17 37J35 PDF BibTeX XML Cite \textit{P. A. Damianou} and \textit{R. L. Fernandes}, Ann. Inst. Fourier 58, No. 1, 107--137 (2008; Zbl 1147.53065) Full Text: DOI Numdam EuDML arXiv
Stiénon, Mathieu; Xu, Ping Modular classes of Loday algebroids. (English) Zbl 1132.22004 C. R., Math., Acad. Sci. Paris 346, No. 3-4, 193-198 (2008). MSC: 22A22 17B62 53D17 PDF BibTeX XML Cite \textit{M. Stiénon} and \textit{P. Xu}, C. R., Math., Acad. Sci. Paris 346, No. 3--4, 193--198 (2008; Zbl 1132.22004) Full Text: DOI arXiv
Bos, Rogier Geometric quantization of Hamiltonian actions of Lie algebroids and Lie groupoids. (English) Zbl 1140.22002 Int. J. Geom. Methods Mod. Phys. 4, No. 3, 389-436 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22A22 53D20 58H05 53D50 57R30 PDF BibTeX XML Cite \textit{R. Bos}, Int. J. Geom. Methods Mod. Phys. 4, No. 3, 389--436 (2007; Zbl 1140.22002) Full Text: DOI arXiv
Leichtnam, Eric; Tang, Xiang; Weinstein, Alan Poisson geometry and deformation quantization near a strictly pseudoconvex boundary. (English) Zbl 1146.53072 J. Eur. Math. Soc. (JEMS) 9, No. 4, 681-704 (2007). MSC: 53D55 32U99 53D17 PDF BibTeX XML Cite \textit{E. Leichtnam} et al., J. Eur. Math. Soc. (JEMS) 9, No. 4, 681--704 (2007; Zbl 1146.53072) Full Text: DOI Link arXiv
Kosmann-Schwarzbach, Yvette; Yakimov, Milen Modular classes of regular twisted Poisson structures on Lie algebroids. (English) Zbl 1128.53055 Lett. Math. Phys. 80, No. 2, 183-197 (2007). Reviewer: Janusz Grabowski (Warszawa) MSC: 53D17 58H05 17B62 PDF BibTeX XML Cite \textit{Y. Kosmann-Schwarzbach} and \textit{M. Yakimov}, Lett. Math. Phys. 80, No. 2, 183--197 (2007; Zbl 1128.53055) Full Text: DOI arXiv
Caseiro, Raquel Modular classes of Poisson-Nijenhuis Lie algebroids. (English) Zbl 1206.53085 Lett. Math. Phys. 80, No. 3, 223-238 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 17B62 17B66 37J05 37J35 PDF BibTeX XML Cite \textit{R. Caseiro}, Lett. Math. Phys. 80, No. 3, 223--238 (2007; Zbl 1206.53085) Full Text: DOI arXiv
Launois, Stéphane; Richard, Lionel Twisted Poincaré duality for some quadratic Poisson algebras. (English) Zbl 1139.17008 Lett. Math. Phys. 79, No. 2, 161-174 (2007). Reviewer: Kenneth A. Brown (Glasgow) MSC: 17B63 17B55 17B37 16E40 PDF BibTeX XML Cite \textit{S. Launois} and \textit{L. Richard}, Lett. Math. Phys. 79, No. 2, 161--174 (2007; Zbl 1139.17008) Full Text: DOI arXiv
Kubarski, Jan The Euler-Poincaré-Hopf theorem for flat connections in some transitive Lie algebroids. (English) Zbl 1164.57304 Czech. Math. J. 56, No. 2, 359-376 (2006). MSC: 57R20 57R19 55R25 PDF BibTeX XML Cite \textit{J. Kubarski}, Czech. Math. J. 56, No. 2, 359--376 (2006; Zbl 1164.57304) Full Text: DOI EuDML
Chen, Zhuo; Liu, Zhangju The localization of 1-cohomology of transitive Lie algebroids. (English) Zbl 1110.58018 Sci. China, Ser. A 49, No. 2, 277-288 (2006). Reviewer: Maido Rahula (Tartu) MSC: 58H05 17B60 53C05 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{Z. Liu}, Sci. China, Ser. A 49, No. 2, 277--288 (2006; Zbl 1110.58018) Full Text: DOI
Grabowski, Janusz; Marmo, Giuseppe; Michor, Peter W. Homology and modular classes of Lie algebroids. (English) Zbl 1141.17018 Ann. Inst. Fourier 56, No. 1, 69-83 (2006). Reviewer: Pasha Zusmanovich (Reykjavik) MSC: 17B56 17B63 18G60 53C05 PDF BibTeX XML Cite \textit{J. Grabowski} et al., Ann. Inst. Fourier 56, No. 1, 69--83 (2006; Zbl 1141.17018) Full Text: DOI Numdam EuDML arXiv
Bressler, Paul; Chervov, Alexander Courant algebroids. (English) Zbl 1132.53046 J. Math. Sci., New York 128, No. 4, 3030-3053 (2005). Reviewer: Luen-Chau Li (University Park) MSC: 53D17 58H05 PDF BibTeX XML Cite \textit{P. Bressler} and \textit{A. Chervov}, J. Math. Sci., New York 128, No. 4, 3030--3053 (2005; Zbl 1132.53046) Full Text: DOI arXiv
Kosmann-Schwarzbach, Yvette; Weinstein, Alan Relative modular classes of Lie algebroids. (English) Zbl 1080.22001 C. R., Math., Acad. Sci. Paris 341, No. 8, 509-514 (2005). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22A22 53D17 PDF BibTeX XML Cite \textit{Y. Kosmann-Schwarzbach} and \textit{A. Weinstein}, C. R., Math., Acad. Sci. Paris 341, No. 8, 509--514 (2005; Zbl 1080.22001) Full Text: DOI arXiv
Kubarski, Jan; Mishchenko, Alexandr Nondegenerate cohomology pairing for transitive Lie algebroids, characterization. (English) Zbl 1116.58017 Cent. Eur. J. Math. 2, No. 5, 663-707 (2004). Reviewer: Gheorghe Pitiş (Braşov) MSC: 58H05 17B56 18G40 55R20 57R19 57R22 PDF BibTeX XML Cite \textit{J. Kubarski} and \textit{A. Mishchenko}, Cent. Eur. J. Math. 2, No. 5, 663--707 (2004; Zbl 1116.58017) Full Text: DOI
Fernandes, Rui Loja Invariants of Lie algebroids. (English) Zbl 1027.22004 Differ. Geom. Appl. 19, No. 2, 223-243 (2003). Reviewer: Elena Hirica (Bucureşti) MSC: 22A22 53C29 PDF BibTeX XML Cite \textit{R. L. Fernandes}, Differ. Geom. Appl. 19, No. 2, 223--243 (2003; Zbl 1027.22004) Full Text: DOI
Fernandes, Rui Loja Lie algebroids, holonomy and characteristic classes. (English) Zbl 1007.22007 Adv. Math. 170, No. 1, 119-179 (2002). Reviewer: Vladislav Goldberg (Newark) MSC: 22A22 53C07 17B99 PDF BibTeX XML Cite \textit{R. L. Fernandes}, Adv. Math. 170, No. 1, 119--179 (2002; Zbl 1007.22007) Full Text: DOI arXiv
Roger, Claude; Vanhaecke, Pol Poisson cohomology of the affine plane. (English) Zbl 0998.17023 J. Algebra 251, No. 1, 448-460 (2002). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B56 53D17 17B63 PDF BibTeX XML Cite \textit{C. Roger} and \textit{P. Vanhaecke}, J. Algebra 251, No. 1, 448--460 (2002; Zbl 0998.17023) Full Text: DOI
Monnier, Philippe Poisson cohomology in dimension two. (English) Zbl 1077.17018 Isr. J. Math. 129, 189-207 (2002). Reviewer: Rui Loja Fernandes (Lisbon) MSC: 17B56 17B63 53D17 PDF BibTeX XML Cite \textit{P. Monnier}, Isr. J. Math. 129, 189--207 (2002; Zbl 1077.17018) Full Text: DOI arXiv
Ginzburg, Viktor L.; Golubev, Alex Holonomy of Poisson manifolds and the modular class. (English) Zbl 0991.53055 Isr. J. Math. 122, 221-242 (2001). Reviewer: Willy Sarlet (Gent) MSC: 53D17 53C29 37J05 PDF BibTeX XML Cite \textit{V. L. Ginzburg} and \textit{A. Golubev}, Isr. J. Math. 122, 221--242 (2001; Zbl 0991.53055) Full Text: DOI arXiv
Kotov, Alexei Poisson homology of \(r\)-matrix type orbits. I: Example of computation. (English) Zbl 0990.53083 J. Nonlinear Math. Phys. 6, No. 4, 365-383 (1999). MSC: 53D17 17B63 17B55 55N35 PDF BibTeX XML Cite \textit{A. Kotov}, J. Nonlinear Math. Phys. 6, No. 4, 365--383 (1999; Zbl 0990.53083) Full Text: DOI arXiv
Evens, Sam; Lu, Jiang-Hua Poisson harmonic forms, Kostant harmonic forms, and the \(S^1\)-equivariant cohomology of \(K/T\). (English) Zbl 0914.22009 Adv. Math. 142, No. 2, 171-220 (1999). Reviewer: Mark R.Sepanski (Waco) MSC: 22E15 22E30 22E41 53C15 PDF BibTeX XML Cite \textit{S. Evens} and \textit{J.-H. Lu}, Adv. Math. 142, No. 2, 171--220 (1999; Zbl 0914.22009) Full Text: DOI arXiv
Huebschmann, Johannes Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras. (English) Zbl 0973.17027 Ann. Inst. Fourier 48, No. 2, 425-440 (1998). MSC: 17B55 17B56 17B66 17B63 53D17 PDF BibTeX XML Cite \textit{J. Huebschmann}, Ann. Inst. Fourier 48, No. 2, 425--440 (1998; Zbl 0973.17027) Full Text: DOI Numdam EuDML arXiv
Weinstein, Alan Poisson geometry. (English) Zbl 0930.37032 Differ. Geom. Appl. 9, No. 1-2, 213-238 (1998). Reviewer: Jair Koiller (Rio de Janeiro) MSC: 37J05 37-02 37J60 58H05 53D17 53C30 PDF BibTeX XML Full Text: DOI