LAUSR

The Riemann surface of the $$r$$-Lambert function

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1 Published in 2021 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-021-01153-7

Abstract: The $$r$$ -Lambert function is a generalization of the classical Lambert W function which has proven to be useful in physics and other disciplines. In this paper we construct the Riemann surface of this function.… read more here.

Keywords: riemann surface; surface lambert; function; lambert function ... See more keywords

Line bundles on the moduli space of parabolic connections over a compact Riemann surface

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3 Published in 2022 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2022.108360

Abstract: Let X be a compact Riemann surface of genus g ≥ 3 and S a finite subset of X . Let ξ be fixed a holomorphic line bundle over X of degree d. LetMpc(r, d,… read more here.

Keywords: moduli space; compact riemann; riemann surface; line ... See more keywords

Two remarks on the Poincaré metric on a singular Riemann surface foliation

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1 Published in 2021 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2021.1932849

Abstract: Let F be a smooth Riemann surface foliation on M \ E, where M is a complex manifold and E ⊂ M is a closed set. Fix a hermitian metric g on M \ E… read more here.

Keywords: surface foliation; poincar metric; riemann surface;

SU(2) flat connection on a Riemann surface and 3D twisted geometry with a cosmological constant

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1 Published in 2017 at "Physical Review D"

DOI: 10.1103/physrevd.95.044018

Abstract: SU(2) flat connection on 2D Riemann surface is shown to relate to the generalized twisted geometry in 3D space with cosmological constant. Various flat connection quantities on Riemann surface are mapped to the geometrical quantities… read more here.

Keywords: cosmological constant; twisted geometry; riemann surface; flat connection ... See more keywords