Skip to main content
CenXiv.org
This website is in trial operation, support us!
We gratefully acknowledge support from all contributors.
Contribute
Donate
cenxiv logo > math > arXiv:2503.05342

Help | Advanced Search

Mathematics > Geometric Topology

arXiv:2503.05342 (math)
[Submitted on 7 Mar 2025 ]

Title: Framed Braid Equivalences

Title: 框架辫等价

Authors:Anastasios Kokkinakis
Abstract: We introduce framed versions of the $L$-moves and prove a one move theorem for the extension of the Markov theorem for framed braids. We further introduce framed versions of the Hilden and Pure Hilden groups, we give presentations and we use them to state and prove a framed version of the Birman theorem for framed links in plat representation.
Abstract: 我们引入了$L$-移动的框架版本,并证明了框架辫子的马尔可夫定理扩展的一次移动定理。 我们进一步引入了希登和纯希登群的框架版本,我们给出了它们的表示,并利用它们来陈述和证明框架链在平台表示中的比尔曼定理的框架版本。
Comments: 30 pages, 35 figures
Subjects: Geometric Topology (math.GT) ; Group Theory (math.GR); Quantum Algebra (math.QA)
Cite as: arXiv:2503.05342 [math.GT]
  (or arXiv:2503.05342v1 [math.GT] for this version)
  https://doi.org/10.48550/arXiv.2503.05342
arXiv-issued DOI via DataCite

Submission history

From: Anastasios Kokkinakis [view email]
[v1] Fri, 7 Mar 2025 11:33:58 UTC (1,828 KB)
Full-text links:

Access Paper:

    View a PDF of the paper titled
  • View Chinese PDF
  • View PDF
  • TeX Source
license icon view license
Current browse context:
math
< prev   |   next >
new | recent | 2025-03
Change to browse by:
math.GR
math.GT
math.QA

References & Citations

  • NASA ADS
  • Google Scholar
  • Semantic Scholar
a export BibTeX citation Loading...

BibTeX formatted citation

×
Data provided by:

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)
  • Author
  • Venue
  • Institution
  • Topic

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)
  • About
  • Help
  • contact arXivClick here to contact arXiv Contact
  • subscribe to arXiv mailingsClick here to subscribe Subscribe
  • Copyright
  • Privacy Policy
  • Web Accessibility Assistance
  • arXiv Operational Status
    Get status notifications via email or slack

京ICP备2025123034号