The disjoint curve property and genus 2 manifolds

✍ Scribed by Abigail Thompson

• Book ID: 104295471
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 67 KB
• Volume: 97
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(98)00063-7

✦ Synopsis

Genus 2 manifolds are a convenient and accessible place to introduce an interesting condition on Heegaard splittings, called the disjoint curve property. This paper will describe the disjoint curve property and its ramifications for understanding genus 2 manifolds, and use it to find a necessary condition for a genus 2 manifold to be hyperbolic.