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Higher order fermionic and bosonic operators on cylinders and Hopf manifolds

Published 23 Dec 2015 in math.DG, math-ph, math.CV, and math.MP | (1512.07323v1)

Abstract: Higher order higher spin operators are generalizations of $kth$-powers of the Dirac operator. In this paper, we study higher order higher spin operators defined on some conformally flat manifolds, namely cylinders and Hopf manifolds. We will also construct the kernels of these operators on these manifolds.

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