AbstractThe study of the moduli spaces of algebraic curves and coherent sheaves, and their induced invariants over ambient complex kahler varieties of complex dimension 2, 3 and higher, has been a central source of focus for mathematicians in the past 50 years, due to their profound connections to geometry, topology, number theory as well as fruitful contributions to superstring theory. The cou...
AbstractAfter presenting an intrinsic description of the geometry of null hypersurfaces, we show howEinstein's equations, that is, the Raychaudhuri and Damour eguations, can be recast as theconservation law of a Carrolian stress tensor. We then derive the symplectic structure and computethe kinematic Poisson bracket of elementary fields. These comprise the spin-0 area and surfacetension, the sp...