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Books on the topic 'Hyperbolic Riemann surfaces'

Author: Grafiati
Published: 6 September 2023

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1

Mochizuki, Shinichi. Conformal and quasiconformal categorical representation of hyperbolic Riemann surfaces. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2004.

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2

Riemann surfaces by way of complex analytic geometry. Providence, R.I: American Mathematical Society, 2011.

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3

Mostly surfaces. Providence, R.I: American Mathematical Society, 2011.

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4

1941-, Hag Kari, and Broch Ole Jacob, eds. The ubiquitous quasidisk. Providence, Rhode Island: American Mathematical Society, 2012.

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5

Ibragimov, Zair. Topics in several complex variables: First USA-Uzbekistan Conference on Analysis and Mathematical Physics, May 20-23, 2014, California State University, Fullerton, California. Providence, Rhode Island: American Mathematical Society, 2016.

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6

Abate, Marco. Holomorphic Dynamics on Hyperbolic Riemann Surfaces. de Gruyter GmbH, Walter, 2022.

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7

Abate, Marco. Holomorphic Dynamics on Hyperbolic Riemann Surfaces. de Gruyter GmbH, Walter, 2022.

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8

Abate, Marco. Holomorphic Dynamics on Hyperbolic Riemann Surfaces. de Gruyter GmbH, Walter, 2022.

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9

Borthwick, David. Spectral Theory of Infinite-Area Hyperbolic Surfaces. Birkhauser Verlag, 2016.

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10

Borthwick, David. Spectral Theory of Infinite-Area Hyperbolic Surfaces. Birkhäuser, 2016.

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11

Borthwick, David. Spectral Theory of Infinite-Area Hyperbolic Surfaces. Birkhäuser, 2018.

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12

Spectral Theory of Infinite-Area Hyperbolic Surfaces (Progress in Mathematics). Birkhäuser Boston, 2007.

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13

Borthwick, David. Spectral Theory of Infinite-Area Hyperbolic Surfaces (Progress in Mathematics Book 256). Birkhäuser, 2007.

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14

Gallo, D. M., and R. M. Porter. Kleinian Groups and Related Topics: Proceedings of the Workshop Held at Oaxtepec, Mexico, August 10-14 1981. Springer London, Limited, 2006.

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15

Hyperbolic Knot Theory. American Mathematical Society, 2020.

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16

Farb, Benson, and Dan Margalit. Moduli Space. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0013.

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Abstract:
This chapter focuses on the moduli space of Riemann surfaces. The moduli space parameterizes many different kinds of structures on Sɡ, such as isometry classes of hyperbolic structures on S, conformal classes of Riemannian metrics on S, biholomorphism classes of complex structures on S, and isomorphism classes of smooth algebraic curves homeomorphic to S. The chapter first considers the moduli space as the quotient of Teichmüller space before discussing the moduli space of the torus. It then examines the theorem (due to Fricke) that Mod(S) acts properly discontinuously on Teich(S), with a finite-index subgroup of Mod(S) acting freely such that M(S) is finitely covered by a smooth aspherical manifold. The chapter also looks at Mumford's compactness criterion, which describes what it means to go to infinity in M(S), and concludes by showing that M(Sɡ) is very close to being a classifying space for Sɡ-bundles.
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