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Existence and uniqueness of weak homotopy moment maps

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1-s2.0-S0393044018302857-main.pdf (401.17 KB)

Date

2018-09-01

Authors

Herman, Jonathan

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Publisher

Elsevier

Abstract

We show that the classical results on the existence and uniqueness of moment maps in symplectic geometry generalize directly to weak homotopy moment maps in multisymplectic geometry. In particular, we show that their existence and uniqueness is governed by a Lie algebra cohomology complex which reduces to the Chevalley–Eilenberg complex in the symplectic setup.

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The final publication is available at Elsevier via https://dx.doi.org/10.1016/j.geomphys.2018.05.001 © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/

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https://dx.doi.org/10.1016/j.geomphys.2018.05.001
 http://hdl.handle.net/10012/13383

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Waterloo Research
Pure Mathematics