Work

Alternating maps on Hatcher–Thurston graphs

Year: 2017

Type: article

Abstract: Let [Formula: see text] and [Formula: see text] be connected orientable surfaces of genus [Formula: see text], [Formula: see text] punctures, and empty boundary. Let also [Formula: see text] be an edge-preserving alternating map between their Hatcher–Thurston graphs. We prove that [Formula: see text] and that there is also a multicurve of cardinality [Formula: see text] contained in every element of the image. We also prove that if [Formula: see text] and [Formula: see text], then the map [Formula: see text] obtained by filling the punctures of [Formula: see text], is induced by a homeomorphism of [Formula: see text].

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s021821651750064x

Author: Jesús Hernández Hernández

Institutions: Centro de Ciencias Matemáticas, Universidad Nacional Autónoma de México

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2962930864

FWCI: 1.176

Cites: 11

Cited by: 3

Related to: 10