Matematicheskie Trudy
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Tr.:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Trudy, 2007, Volume 10, Number 1, Pages 3–15 (Mi mt27)  
This article is cited in 2 scientific papers (total in 2 papers)

The Chern–Simons Invariants of Cone-Manifolds with the Whitehead Link Singular Set

N. V. Abrosimov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (234 kB) Citations (2)
References:
PDF
HTML
Abstract: In the present article, we obtain some explicit integral formulas for the generalized Chern–Simons function $I(W(\alpha,\beta))$ for Whitehead link cone-manifolds in the hyperbolic and spherical cases. We also give the Chern–Simons invariant for the Whitehead link orbifolds. We find a formula for the Chern–Simons invariant of $n$-fold coverings of the three-sphere branched over the Whitehead link.
Key words: Chern–Simons invariant, generalized Chern–Simons function, complex length, cone-manifold, orbifold, singular set, Whitehead link.
Received: 26.07.2005
English version:
Siberian Advances in Mathematics, 2008, Volume 18, Issue 2, Pages 77–85
DOI: https://doi.org/10.3103/S1055134408020016
Bibliographic databases:
UDC: 514.132+514.133
Language: Russian
Citation: N. V. Abrosimov, “The Chern–Simons Invariants of Cone-Manifolds with the Whitehead Link Singular Set”, Mat. Tr., 10:1 (2007), 3–15; Siberian Adv. Math., 18:2 (2008), 77–85
Citation in format AMSBIB
\Bibitem{Abr07}
\by N.~V.~Abrosimov
\paper The Chern--Simons Invariants of Cone-Manifolds with the Whitehead Link Singular Set
\jour Mat. Tr.
\yr 2007
\vol 10
\issue 1
\pages 3--15
\mathnet{http://mi.mathnet.ru/mt27}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2485364}
\transl
\jour Siberian Adv. Math.
\yr 2008
\vol 18
\issue 2
\pages 77--85
\crossref{https://doi.org/10.3103/S1055134408020016}
Linking options:
  • https://www.mathnet.ru/eng/mt27
  • https://www.mathnet.ru/eng/mt/v10/i1/p3
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
    Statistics & downloads:
    Abstract page:434
    Full-text PDF :126
    References:39
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024