Nonrational, nonsimple convex polytopes in symplectic geometry
Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 29-34
Cet article a éte moissonné depuis la source American Mathematical Society
In this research announcement we associate to each convex polytope, possibly nonrational and nonsimple, a family of compact spaces that are stratified by quasifolds, i.e., the strata are locally modeled by ${\mathbb {R}}^k$ modulo the action of a discrete, possibly infinite, group. Each stratified space is endowed with a symplectic structure and a moment mapping having the property that its image gives the original polytope back. These spaces may be viewed as a natural generalization of symplectic toric varieties to the nonrational setting. We provide here the explicit construction of these spaces, and a thorough description of the stratification.
Affiliations des auteurs :
Battaglia, Fiammetta 1 ; Prato, Elisa 2
@article{10_1090_S1079_6762_02_00101_4,
author = {Battaglia, Fiammetta and Prato, Elisa},
title = {Nonrational, nonsimple convex polytopes in symplectic geometry},
journal = {Electronic research announcements of the American Mathematical Society},
pages = {29--34},
year = {2002},
volume = {08},
doi = {10.1090/S1079-6762-02-00101-4},
url = {http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-02-00101-4/}
}
TY - JOUR AU - Battaglia, Fiammetta AU - Prato, Elisa TI - Nonrational, nonsimple convex polytopes in symplectic geometry JO - Electronic research announcements of the American Mathematical Society PY - 2002 SP - 29 EP - 34 VL - 08 UR - http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-02-00101-4/ DO - 10.1090/S1079-6762-02-00101-4 ID - 10_1090_S1079_6762_02_00101_4 ER -
%0 Journal Article %A Battaglia, Fiammetta %A Prato, Elisa %T Nonrational, nonsimple convex polytopes in symplectic geometry %J Electronic research announcements of the American Mathematical Society %D 2002 %P 29-34 %V 08 %U http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-02-00101-4/ %R 10.1090/S1079-6762-02-00101-4 %F 10_1090_S1079_6762_02_00101_4
Battaglia, Fiammetta; Prato, Elisa. Nonrational, nonsimple convex polytopes in symplectic geometry. Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 29-34. doi: 10.1090/S1079-6762-02-00101-4
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