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math.DG2026
Higher Covariant Derivative and the Bundle of Dirac Currents
Harrison Pugh
Using the higher covariant derivative on a manifold equipped with a torsion-free connection, we define a natural surjective bundle map from $ (\otimes(TM))\otimes (\wedg…
math.DG2026
The Hopf Algebraic Structure of Finitely Supported Currents on a Lie Group
Harrison Pugh
The space of de Rham currents supported in finitely many points in a Lie group has the structure of a filtered differential graded Hopf algebra. The product is given by convolu…