University of Sussex
Browse
__smbhome.uscs.susx.ac.uk_jb622_Documents_Receptionist Files_Research Papers_Doodles.pdf (223.14 kB)

Doodles on surfaces

Download (223.14 kB)
journal contribution
posted on 2023-06-09, 14:47 authored by Andrew Bartholomew, Roger Fenn, Naoko Kamada, Seiichi Kamada
Doodles were introduced in but were restricted to embedded circles in the 2-sphere. Khovanov, extended the idea to immersed circles in the 2-sphere. In this paper we further extend the range of doodles to any closed oriented surfaces. Uniqueness of minimal representatives is proved, and various example of doodles are given with their minimal representatives. We also introduce the notion of virtual doodles, and show that there is a natural one-to-one correspondence between doodles on surfaces and virtual doodles on the plane.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Knot Theory and Its Ramifications

ISSN

0218-2165

Publisher

World Scientific Publishing

Issue

12

Volume

27

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2018-08-28

First Open Access (FOA) Date

2019-10-23

First Compliant Deposit (FCD) Date

2018-08-24

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC