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Thick hyperbolic 3-manifolds with bounded rank / Ian Biringer, Juan Souto.
Math/Physics/Astronomy Library QA3 .A57 no.1607
Available
- Format:
- Book
- Author/Creator:
- Biringer, Ian, author.
- Souto, Juan, author.
- Series:
- Memoirs of the American Mathematical Society ; vol.316, no. 1607.
- Memoirs of the American Mathematical Society, 0065-9266 ; volume 316, number 1607
- Language:
- English
- Subjects (All):
- Hyperbolic spaces.
- Physical Description:
- v, 192 pages : illustrations, 26 cm.
- Production:
- Providence, Rhode Island : American Mathematical Society, 2025.
- Summary:
- "We construct a geometric decomposition of the convex cores of E-thick hyperbolic 3-manifolds M with bounded rank. Corollaries include upper bounds in terms of rank and injectivity radius on the Heegaard genus of M and on the radius of any embedded ball in the convex core of M." -- Provided by publisher.
- Contents:
- Introduction
- An outline of the proof
- Some topology
- Negatively curved manifolds
- Simplicial ruled surfaces
- Wide product regions
- Double compression bodies
- Carrier graphs
- Algebraic and geometric limits
- Splitting along barriers
- Short carrier graphs
- When all barriers are peripheral
- When there are no short compressible curves
- The general case.
- Notes:
- 'December 2025, Volume 316, Number 1607 (fifth of 6 numbers)' -- Title page.
- Includes bibliographic references (pages 189-192).
- ISBN:
- 1470478250
- 9781470478254
- OCLC:
- 1570289157
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