Study of quantum spaces on Kähler manifolds with T-symmetry converging to a mixed polarization.
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Research connects geometric structures to knot theory and algebraic combinatorics.
String geometry theory uniquely determines classical action with T-symmetry.
We find flat band Hamiltonians and Ginsparg-Wilson relations for symmetry classes.
Geodesic rays constructed in Kähler metrics with torus symmetry.
"Ends of hyperbolic 3-manifolds should support canonical Wick Rotations, so they realize effective interactions of their ending globally hyperbolic spacetimes of constant curvature." We develop a consistent sector of WR-rescaling theory in 3D gravity, that, in particular, concretizes the above guess for many geometrica…
We develop a ``canonical Wick rotation-rescaling theory in 3-dimensional gravity''. This includes: (a) A simultaneous classification that shows how generic maximal globally hyperbolic spacetimes of constant curvature, which admit a complete Cauchy surface (in particular a compact one), as well as complex projective str…