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A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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0111 · Dec 200419922001200920172026
7 results for T-symmetry

Study of quantum spaces on Kähler manifolds with T-symmetry converging to a mixed polarization.

problem Quantum spaces on Kähler manifolds with T-symmetry and their convergence.
method Construction of a one-parameter family of Kähler structures and study of quantum spaces.
result Quantum spaces corresponding to different polarizations converge to a mixed polarization as the parameter goes to infinity.

Research connects geometric structures to knot theory and algebraic combinatorics.

problem Understanding the mixed Hodge structure on cohomology of open positroid varieties.
method Relates mixed Hodge structure to Khovanov-Rozansky homology of associated links.
result Rational q,tq,t-Catalan numbers are derived from mixed Hodge polynomials of open positroid varieties.

We find flat band Hamiltonians and Ginsparg-Wilson relations for symmetry classes.

problem Finding flat band Hamiltonians and Ginsparg-Wilson relations for symmetry classes.
method Integrating out the additional bulk direction to obtain effective Dirac operators and then deriving flat and overlap Dirac operators.
result Established Ginsparg-Wilson relations and mod-two index theorems for each symmetry class.

"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…

2004-12-23abs ↗pdf ↗

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…

2005-08-25abs ↗pdf ↗