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Addendum: The case of closed surfaces (Boundary value problems on planar graphs and flat surfaces with integer cone singularities I: The Dirichlet problem)
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Sa'ar Hersonsky
Published/Copyright:
October 14, 2015
Abstract
We extend our discrete uniformization theorems for planar, m-connected, Jordan domains [J. reine angew. Math. 670 (2012), 65–92] to closed surfaces of genus m ≥ 1.
Funding source: Simons Foundation
Award Identifier / Grant number: #319163 to Sa'ar Hersonsky
We thank Ed Chien and Feng Luo for expressing their interest in our work, and for a sketch of their research plan to address (following ideas of Danny Calegari) a different path to tiling of closed surfaces by squares.
Received: 2015-2-17
Revised: 2015-5-11
Published Online: 2015-10-14
Published in Print: 2016-4-1
© 2016 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Congruence kernels around affine curves
- On the dynamical and arithmetic degrees of rational self-maps of algebraic varieties
- On the splitting of quasilinear p-forms
- Graded quiver varieties and derived categories
- On the limit of spectral measures associated to a test configuration of a polarized Kähler manifold
- Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds. II
- Linear stability of algebraic Ricci solitons
- Dynamical stability of algebraic Ricci solitons
- Erratum to Dynamics of the Krichever construction in several variables (J. reine angew. Math. 572 (2004), 111–138)
- Addendum: The case of closed surfaces (Boundary value problems on planar graphs and flat surfaces with integer cone singularities I: The Dirichlet problem)
