There is no bound on the order of the conditions needed to write a multisymplectic form with constant coefficients: for every j, explicit 3-forms in dimension 2j+5 require conditions of order j.
Advances in Math
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Under a domination condition, real-analytic deformations of symplectomorphism products yield large robustly transitive sets and new non-uniformly-hyperbolic examples via blender-horseshoe perturbations and control-theory ideas.
Reviews homotopies in geometric BV formalism and builds new examples from RG flow and gauge changes to produce spans of quantum master actions with isomorphic effective actions.
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The Spencer cohomology and integrability of multisymplectic structures
There is no bound on the order of the conditions needed to write a multisymplectic form with constant coefficients: for every j, explicit 3-forms in dimension 2j+5 require conditions of order j.
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Robustly transitive behavior in symplectic dynamics
Under a domination condition, real-analytic deformations of symplectomorphism products yield large robustly transitive sets and new non-uniformly-hyperbolic examples via blender-horseshoe perturbations and control-theory ideas.
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Homotopies in Batalin-Vilkovisky Formalism
Reviews homotopies in geometric BV formalism and builds new examples from RG flow and gauge changes to produce spans of quantum master actions with isomorphic effective actions.