20,677 research outputs found
Linear differential operators on contact manifolds
We consider differential operators between sections of arbitrary powers of
the determinant line bundle over a contact manifold. We extend the standard
notions of the Heisenberg calculus: noncommutative symbolic calculus, the
principal symbol, and the contact order to such differential operators. Our
first main result is an intrinsically defined "subsymbol" of a differential
operator, which is a differential invariant of degree one lower than that of
the principal symbol. In particular, this subsymbol associates a contact vector
field to an arbitrary second order linear differential operator. Our second
main result is the construction of a filtration that strengthens the well-known
contact order filtration of the Heisenberg calculus
Material, Trace, Trauma: Notes on some Recent Acquisitions at the Canadian War Museum and the Legacy of the First World War
Recent acquisitions at the Canadian War Museum are considered in relation to the radical innovations of soldier-artists who endured the somatic conditions of the First World War trenches, privileging materiality and psychic reality over visual perception. Barbara Steinman and Norman Takeuchi bring the past into the present through the indexical presence of black and white photographic fragments and the emotive presentation of lost objects as signifiers of the desires of the absent. Scott Waters and Mary Kavanagh evoke dread and the contingency of death through anamorphic distortion and blinding luminosity. Like the suggestive surfaces of the Museum itself, these works unsettle us to make palpable the psychic toll of war
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