Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2024, Volume 325, Pages 146–174
DOI: https://doi.org/10.4213/tm4418 (Mi tm4418) 		 
Rectangular Diagrams of Giroux Convex Surfaces

Ivan A. Dynnikov, Maxim V. Prasolov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991 Russia
Full-text PDF (549 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4418
Abstract: We show that any two rectangular diagrams of equivalent Giroux convex surfaces with Legendrian boundary in the three-sphere can be obtained from each other by a sequence of basic moves preserving their equivalence class.
Keywords: Giroux convex surface, rectangular diagram of a surface.
Funding agency Grant number
Russian Science Foundation 22-11-00299
This work was supported by the Russian Science Foundation under grant no. 22-11-00299, https://rscf.ru/en/project/22-11-00299/.
Received: May 16, 2024
Revised: July 8, 2024
Accepted: July 9, 2024
English version:
Proceedings of the Steklov Institute of Mathematics, 2024, Volume 325, Pages 136–162
DOI: https://doi.org/10.1134/S0081543824020081
Bibliographic databases:
Document Type: Article
UDC: 515.162.6
Language: Russian
Citation: Ivan A. Dynnikov, Maxim V. Prasolov, “Rectangular Diagrams of Giroux Convex Surfaces”, Geometry, Topology, and Mathematical Physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday, Trudy Mat. Inst. Steklova, 325, Steklov Mathematical Institute of RAS, Moscow, 2024, 146–174; Proc. Steklov Inst. Math., 325 (2024), 136–162
Citation in format AMSBIB
\Bibitem{DynPra24}
\by Ivan~A.~Dynnikov, Maxim~V.~Prasolov
\paper Rectangular Diagrams of Giroux Convex Surfaces
\inbook Geometry, Topology, and Mathematical Physics
\bookinfo Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2024
\vol 325
\pages 146--174
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4418}
\crossref{https://doi.org/10.4213/tm4418}
\zmath{https://zbmath.org/?q=an:07939066}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2024
\vol 325
\pages 136--162
\crossref{https://doi.org/10.1134/S0081543824020081}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85206917370}
Linking options:
  • https://www.mathnet.ru/eng/tm4418
  • https://doi.org/10.4213/tm4418
  • https://www.mathnet.ru/eng/tm/v325/p146
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:91
    Full-text PDF :1
    References:9
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024