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math.DG2018★ 6 cited
Polysymplectic Reduction and the Moduli Space of Flat Connections
Casey Blacker
A polysymplectic structure is a vector-valued symplectic form, that is, a closed nondegenerate 2-form with values in a vector space. We first outline the polysymplectic Hamiltonian…
math.DG2018
First eigenvalue of the -Laplacian on Kähler manifolds
Casey Blacker, Shoo Seto
We prove a Lichnerowicz type lower bound for the first nontrivial eigenvalue of the -Laplacian on Kähler manifolds. Parallel to the case, the first eigenvalue lower boun…