94 citations · 167 across the 17 of their papers we have counts for
23 papers
The Hilbert area of inscribed triangles and quadrilaterals
Scott A. Wolpert
Hilbert volume is an invariant of real projective geometry. Polygons inscribed in polygons are considered for the real projective plane. The correspondence between Fock-Goncharov a…
The vanishing rate of Weil-Petersson sectional curvatures
Scott A. Wolpert
The Weil-Petersson metric for the moduli space of Riemann surfaces has negative sectional curvature. Surfaces represented in the complement of a compact set in the moduli space hav…
Schiffer variations and Abelian differentials
Scott A. Wolpert
Deformations of compact Riemann surfaces are considered using a Čech cohomology sliding overlaps approach. Cocycles are calculated for conformal cutting and regluing deformations a…
Equiboundedness of the Weil-Petersson metric
Scott A. Wolpert
Uniform bounds are developed for derivatives of solutions of the -dimensional constant negative curvature equation and the Weil-Petersson metric for the Teichmüller and moduli s…
Products of twists, geodesic-lengths and Thurston shears
Scott A. Wolpert
Thurston introduced shear deformations (cataclysms) on geodesic laminations - deformations including left and right displacements along geodesics. For hyperbolic surfaces with cusp…
Infinitesimal deformations of nodal stable curves
Scott A. Wolpert
An analytic approach and description are presented for the moduli cotangent sheaf for suitable stable curve families including noded fibers. For sections of the square of the relat…