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The Hess-Appelrot system. I. Invariant torus and its normal hyperbolicity
Distributions and quotients on degree $1$ NQ-manifolds and Lie algebroids
1. | Universidad Autónoma de Madrid (Dept. de Matemáticas), ICMAT(CSIC-UAM-UC3M-UCM), Campus de Cantoblanco, 28049 - Madrid, Spain |
2. | Courant Research Centre “Higher Order Structures”, Mathematisches Institut, University of Göttingen, Göttingen, 37073, Germany |
References:
[1] |
Theory Appl. Categ., 12 (2004), 492-538 (electronic). |
[2] |
Adv. Math., 2010, arXiv:1001.4904.
doi: 10.1016/j.aim.2010.10.006. |
[3] |
H. Bursztyn, A. S. Cattaneo, R. Metha and M. Zambon, Reduction of Courant algebroids via super-geometry,, in preparation., (). Google Scholar |
[4] |
in "The Breadth of Symplectic and Poisson Geometry,'' 232 of Progr. Math., 1-40. Birkhäuser Boston, Boston, MA, (2005).
doi: 10.1007/0-8176-4419-9_1. |
[5] |
in "International Congress of Mathematicians'' III, 339-365. Eur. Math. Soc., Zürich, (2006). |
[6] |
Rev. Math. Phys., 23 (2011), 669-690.
doi: 10.1142/S0129055X11004400. |
[7] |
A. S. Cattaneo and M. Zambon, A super-geometric approach to Poisson reduction,, To appear in Comm. Math. Physics., ().
|
[8] |
M. Jotz and C. Ortiz, Foliated groupoids and their infinitesimal data,, \arXiv{1109.4515}., (). Google Scholar |
[9] |
Lett. Math. Phys., 69 (2004), 61-87.
doi: 10.1007/s11005-004-0608-8. |
[10] |
in "Quantization, Poisson Brackets and Beyond'' (Manchester, 2001), 315 of Contemp. Math., 213-233. Amer. Math. Soc., Providence, RI, (2002).
doi: 10.1090/conm/315/05482. |
[11] |
Comm. Algebra, 23 (1995), 2147-2161.
doi: 10.1080/00927879508825335. |
[12] |
213 of London Mathematical Society Lecture Note Series. Cambridge University Press, Cambridge, 2005. |
[13] |
Ph.D thesis, University of California, Berkeley, 2006. arXiv:math.DG/0605356. |
[14] |
R. A. Mehta and M. Zambon, $L_{\infty}$-algebra actions on graded manifolds,, to appear in Differential Geometry and its Applications., ().
doi: 10.1016/j.difgeo.2012.07.006. |
[15] |
P. Ševera, Letter to Alan Weinstein,, \url{http://sophia.dtp.fmph.uniba.sk/~severa/letters/no8.ps}., (). Google Scholar |
[16] |
in "Travaux Mathématiques. Fasc. XVI'' Trav. Math., XVI, 121-137. Univ. Luxemb., Luxembourg, (2005). |
[17] |
Lett. Math. Phys., 77 (2006), 199-208.
doi: 10.1007/s11005-006-0089-z. |
[18] |
Ph.D thesis, arXiv:0902.2228, 2009. Google Scholar |
[19] |
Uspekhi Mat. Nauk, 52 (1997), 161-162.
doi: 10.1070/RM1997v052n02ABEH001802. |
[20] |
in "Quantization, Poisson brackets and beyond (Manchester, 2001),'' 315 of Contemp. Math., 131-168. Amer. Math. Soc., Providence, RI, (2002).
doi: 10.1090/conm/315/05478. |
[21] |
arXiv:math/0608111, (2006). Google Scholar |
[22] |
XXIX Workshop on Geometric Methods in Physics. AIP CP 1307, 191-202, Amer. Inst. Phys., Melville, NY, (2010). |
[23] |
M. Zambon and C. Zhu, Higher Lie algebra actions on Lie algebroids,, \arXiv{1012.0428v2} to appear in Journal of Geometry and Physics., (). Google Scholar |
show all references
References:
[1] |
Theory Appl. Categ., 12 (2004), 492-538 (electronic). |
[2] |
Adv. Math., 2010, arXiv:1001.4904.
doi: 10.1016/j.aim.2010.10.006. |
[3] |
H. Bursztyn, A. S. Cattaneo, R. Metha and M. Zambon, Reduction of Courant algebroids via super-geometry,, in preparation., (). Google Scholar |
[4] |
in "The Breadth of Symplectic and Poisson Geometry,'' 232 of Progr. Math., 1-40. Birkhäuser Boston, Boston, MA, (2005).
doi: 10.1007/0-8176-4419-9_1. |
[5] |
in "International Congress of Mathematicians'' III, 339-365. Eur. Math. Soc., Zürich, (2006). |
[6] |
Rev. Math. Phys., 23 (2011), 669-690.
doi: 10.1142/S0129055X11004400. |
[7] |
A. S. Cattaneo and M. Zambon, A super-geometric approach to Poisson reduction,, To appear in Comm. Math. Physics., ().
|
[8] |
M. Jotz and C. Ortiz, Foliated groupoids and their infinitesimal data,, \arXiv{1109.4515}., (). Google Scholar |
[9] |
Lett. Math. Phys., 69 (2004), 61-87.
doi: 10.1007/s11005-004-0608-8. |
[10] |
in "Quantization, Poisson Brackets and Beyond'' (Manchester, 2001), 315 of Contemp. Math., 213-233. Amer. Math. Soc., Providence, RI, (2002).
doi: 10.1090/conm/315/05482. |
[11] |
Comm. Algebra, 23 (1995), 2147-2161.
doi: 10.1080/00927879508825335. |
[12] |
213 of London Mathematical Society Lecture Note Series. Cambridge University Press, Cambridge, 2005. |
[13] |
Ph.D thesis, University of California, Berkeley, 2006. arXiv:math.DG/0605356. |
[14] |
R. A. Mehta and M. Zambon, $L_{\infty}$-algebra actions on graded manifolds,, to appear in Differential Geometry and its Applications., ().
doi: 10.1016/j.difgeo.2012.07.006. |
[15] |
P. Ševera, Letter to Alan Weinstein,, \url{http://sophia.dtp.fmph.uniba.sk/~severa/letters/no8.ps}., (). Google Scholar |
[16] |
in "Travaux Mathématiques. Fasc. XVI'' Trav. Math., XVI, 121-137. Univ. Luxemb., Luxembourg, (2005). |
[17] |
Lett. Math. Phys., 77 (2006), 199-208.
doi: 10.1007/s11005-006-0089-z. |
[18] |
Ph.D thesis, arXiv:0902.2228, 2009. Google Scholar |
[19] |
Uspekhi Mat. Nauk, 52 (1997), 161-162.
doi: 10.1070/RM1997v052n02ABEH001802. |
[20] |
in "Quantization, Poisson brackets and beyond (Manchester, 2001),'' 315 of Contemp. Math., 131-168. Amer. Math. Soc., Providence, RI, (2002).
doi: 10.1090/conm/315/05478. |
[21] |
arXiv:math/0608111, (2006). Google Scholar |
[22] |
XXIX Workshop on Geometric Methods in Physics. AIP CP 1307, 191-202, Amer. Inst. Phys., Melville, NY, (2010). |
[23] |
M. Zambon and C. Zhu, Higher Lie algebra actions on Lie algebroids,, \arXiv{1012.0428v2} to appear in Journal of Geometry and Physics., (). Google Scholar |
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