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Annals of Mathematics, 165 (2007), 843–941 The stable moduli space of Riemann surfaces: Mumford’s conjecture By Ib Madsen and Michael Weiss* Abstract D. Mumford conjectured…
Dynamics on Riemann surfaces and the geometry of moduli space Curtis T McMullen Harvard University HΓ→ Mg →B!SL2R ΩMg Avila, Hubert, Lanneau, Kontsevich, Masur,Yoccoz,…
Jost-Compact_Riemann_surfaces.pdf2.1 The Concept of a Riemann Surface Definition 2.1.1 A two-dimensional manifold is called a surface. Definition 2.1.2 An atlas on a surface
Closed magnetic geodesics on Riemann surfacesMatthias Schneider April 8. 2011, Sevilla The problem Given I an oriented (compact) surface (M, g) with a Riemannian metric g
The Bergman Kernel on Riemann SurfacesChiung-ju Liu (Joint work with Zhiqin Lu) National Taiwan University December 6, 2013 Outline Introduction Partial Results Introduction
Introduction to Riemann Surfaces — Lecture 4 John Armstrong KCL 26 November 2012 Overview of Course 1. Definition and examples of Riemann Surfaces 2. Understand statement:…
Overview on n−gonal automorphism of Riemann surfaces Mariela Carvacho Bustamante September 26 2017 Universidad Técnica Federico Santa Maŕıa marielacarvacho@usmcl González-Diez…
Riemann Surfaces JWR Wednesday December 12 2001 8:36 AM 1 The Classifying Map A reference for the material in this section is 3 11 Let V be a vector space over C We denote…
Elliptic Functions Riemann surfaces of algebraic functions. 1 §4.1 Riemann surface of algebtaic functions. Hitherto: elliptic integrals and elliptic functions mainly over…
The Riemann-Hurwitz Formula Frans Oort∗ Abstract Let ϕ : S → T be a surjective holomorphic map between compact Riemann surfaces. There is a formula relating the various…
Dynamics on Riemann surfaces and the geometry of moduli space Curtis T McMullen Harvard University HΓ→ Mg →B!SL2R ΩMg Avila, Hubert, Lanneau, Kontsevich, Masur,Yoccoz,…
Part II — Riemann Surfaces — Year 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 96 Paper 3 Section II 23F Riemann Surfaces Let Λ be a lattice…
Golden Ratio on Surfaces Ji-Young Ham and Joongul Lee Riemann surfaces and Teichmuller theory, Euler International Mathematical Institute, St. Petersburg, Russia July 8-12,…
THE STABLE COHOMOLOGY OF MODULI SPACES OF SHEAVES ON SURFACES IZZET COSKUN AND MATTHEW WOOLF Abstract Let X be a smooth irreducible complex projective surface H a polarization…
The Riemann-Hurwitz Formula Frans Oort∗ Abstract Let ϕ : S → T be a surjective holomorphic map between compact Riemann surfaces There is a formula relating the various…
Riemann Surfaces JWR Wednesday December 12 2001 8:36 AM 1 The Classifying Map A reference for the material in this section is 3 11 Let V be a vector space over C We denote…
ar X iv :0 80 6. 19 75 v4 m at h. SG 3 1 D ec 2 00 8 Moduli spaces of flat SU2-bundles over nonorientable surfaces Thomas John Baird November 1, 2018 Abstract We study the…
Zeros of the Selberg zeta function for non-compact surfaces Abstract In the present paper we provide a rigorous mathematical foundation for describing the zeros of the Selberg…
EXTREMAL SASAKIAN GEOMETRY ON S3-BUNDLES OVER RIEMANN SURFACES CHARLES P BOYER AND CHRISTINA W TØNNESEN-FRIEDMAN Abstract In this paper we study the Sasakian geometry on…
Michael Harris §1. Moduli 1.1. Let V = Q2g, and let be the standard symplectic form on V , represented by the matrix ( 0 Ig −Ig 0 ) . Let T be the lattice