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Information Journal Paper

Title

SYMPLECTIC HODGE THEORY, HARMONICITY, AND THOM DUALITY

Pages

  359-363

Abstract

 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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    • Cite

    APA: Copy

    BAHRAMGIRI, M.. (2013). SYMPLECTIC HODGE THEORY, HARMONICITY, AND THOM DUALITY. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 37(A3 (SPECIAL ISSUE-MATHEMATICS)), 359-363. SID. https://sid.ir/paper/618026/en

    Vancouver: Copy

    BAHRAMGIRI M.. SYMPLECTIC HODGE THEORY, HARMONICITY, AND THOM DUALITY. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2013;37(A3 (SPECIAL ISSUE-MATHEMATICS)):359-363. Available from: https://sid.ir/paper/618026/en

    IEEE: Copy

    M. BAHRAMGIRI, “SYMPLECTIC HODGE THEORY, HARMONICITY, AND THOM DUALITY,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 37, no. A3 (SPECIAL ISSUE-MATHEMATICS), pp. 359–363, 2013, [Online]. Available: https://sid.ir/paper/618026/en

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