We show that the moduli space of polarized irreducible symplectic manifolds of -type, of fixed polarization type, is not always connected. This can be derived as a consequence of Eyal Markman’s characterization of polarized parallel-transport operators of -type.
Nous montrons que l’espace de modules des variétés symplectiques irréductibles polarisées de type , le type de polarisation étant fixé, n’est pas nécessairement connexe. Cela peut être obtenu comme une conséquence de la caractérisation de Markman des opérateurs de transport parallèle polarisé de type .
Keywords: number of connected components, monodromy invariant, irreducible symplectic manifolds
Mot clés : nombre de composantes connexes, invariant de monodromie, variétés symplectiques irréductibles
@article{AIF_2014__64_1_189_0, author = {Apostolov, Apostol}, title = {Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected}, journal = {Annales de l'Institut Fourier}, pages = {189--202}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {64}, number = {1}, year = {2014}, doi = {10.5802/aif.2844}, zbl = {06387271}, mrnumber = {3330546}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2844/} }
TY - JOUR AU - Apostolov, Apostol TI - Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected JO - Annales de l'Institut Fourier PY - 2014 SP - 189 EP - 202 VL - 64 IS - 1 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2844/ DO - 10.5802/aif.2844 LA - en ID - AIF_2014__64_1_189_0 ER -
%0 Journal Article %A Apostolov, Apostol %T Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected %J Annales de l'Institut Fourier %D 2014 %P 189-202 %V 64 %N 1 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2844/ %R 10.5802/aif.2844 %G en %F AIF_2014__64_1_189_0
Apostolov, Apostol. Moduli spaces of polarized irreducible symplectic manifolds are not necessarily connected. Annales de l'Institut Fourier, Volume 64 (2014) no. 1, pp. 189-202. doi : 10.5802/aif.2844. http://archive.numdam.org/articles/10.5802/aif.2844/
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