Victor Guillemin, Eugene Lerman
Abstract
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By applying the symplectic cutting operation to cotangent bundles, one can construct a large number of interesting symplectic cones. In this paper we show how to attach algebras of pseudodifferential operators to such cones and describe the symbolic properties of the algebras.
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By applying the symplectic cutting operation to cotangent bundles, one can construct a large number of interesting symplectic cones. In this paper we show how to attach algebras of pseudodifferential operators to such cones and describe the symbolic properties of the algebras.
Key concepts: Symplectic geometry, Pseudodifferential operators, Pure mathematics, Representation (politics), Symplectic representation, Construct (python library), Mathematics, Trigonometric functions