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Résumé |
We formulate the covariant hydrodynamics equations describing the relativistic
fluid dynamics as the problem of intersection theory on some infinite dimensional
symplectic manifold associated with spacetime. This point of view separates the
structures related to the equation of state, the geometry of spacetime, and the
structures related to the (differential) topology of spacetime. We point out a
five dimensional origin of the formalism of Lichnerowicz and Carter (and of
Euler's equations for compressible ideal fluid). Our formalism makes it easy to
incorporate the chiral anomaly and Onsager quantization. We clarify the relation
between the canonical and Landau-Lifschitz flows, the meaning of Kelvin's theorem.
Finally, we discuss some connections to topological strings and to canonical
approaches to quasiclassical quantization of gravity. Joint work with Paul
Wiegmann. |
