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- W1776105521 abstract "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 <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper R Superscript k> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>R</mml:mi> </mml:mrow> </mml:mrow> <mml:mi>k</mml:mi> </mml:msup> <mml:annotation encoding=application/x-tex>{mathbb {R}}^k</mml:annotation> </mml:semantics> </mml:math> </inline-formula> 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." @default.
- W1776105521 created "2016-06-24" @default.
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- W1776105521 date "2002-09-17" @default.
- W1776105521 modified "2023-10-18" @default.
- W1776105521 title "Nonrational, nonsimple convex polytopes in symplectic geometry" @default.
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- W1776105521 doi "https://doi.org/10.1090/s1079-6762-02-00101-4" @default.
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