symplectic hodge theory, harmonicity, and thom duality
نویسندگان
چکیده
we study the notion of harmonicity in the sense of symplectic geometry, and investigate the geometric properties of harmonic thom forms and distributional thom currents, dual to different types of submanifolds. we show that the harmonic thom form associated to a symplectic submanifold is nowhere vanishing. we also construct symplectic smoothing operators which preserve the harmonicity of distributional currents and using these operators, construct harmonic thom forms for co-isotropic submanifolds, which unlike the harmonic forms associated with symplectic submanifolds, are supported in an arbitrary tubular neighborhood of the manifold.
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عنوان ژورنال:
iranian journal of science and technology (sciences)ISSN 1028-6276
دوره 37
شماره 3.1 2013
میزبانی شده توسط پلتفرم ابری doprax.com
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