Relevant bibliographies by topics / Reidemeister

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Reidemeister'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 February 2022

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Journal articles on the topic "Reidemeister"

1

Fel'shtyn, Alexander. "Reidemeister numbers." Topological Methods in Nonlinear Analysis 21, no. 1 (2003): 147. http://dx.doi.org/10.12775/tmna.2003.009.

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Jiang, Boju, Seoung Ho Lee, and Moo Ha Woo. "Reidemeister orbit sets." Fundamenta Mathematicae 183, no. 2 (2004): 139–56. http://dx.doi.org/10.4064/fm183-2-5.

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Tran, Anh T. "Twisted Alexander polynomials with the adjoint action for some classes of knots." Journal of Knot Theory and Its Ramifications 23, no. 10 (2014): 1450051. http://dx.doi.org/10.1142/s0218216514500515.

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We calculate the twisted Alexander polynomial with the adjoint action for torus knots and twist knots. As consequences of these calculations, we obtain the formula for the nonabelian Reidemeister torsion of torus knots in [J. Dubois, Nonabelian twisted Reidemeister torsion for fibered knots, Canad. Math. Bull.49(1) (2006) 55–71] and a formula for the nonabelian Reidemeister torsion of twist knots that is better than the one in [J. Dubois, V. Huynh and Y. Yamaguchi, Nonabelian Reidemeister torsion for twist knots, J. Knot Theory Ramifications18(3) (2009) 303–341].
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HAYASHI, CHUICHIRO. "A LOWER BOUND FOR THE NUMBER OF REIDEMEISTER MOVES FOR UNKNOTTING." Journal of Knot Theory and Its Ramifications 15, no. 03 (2006): 313–25. http://dx.doi.org/10.1142/s0218216506004488.

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How many Reidemeister moves do we need for unknotting a given diagram of the trivial knot? The absolute value of the writhe gives a lower bound of the number of Reidemeister I moves. That of a complexity of knot diagram "cowrithe" works for Reidemeister II, III moves. In Appendix A, we give an example of an infinite sequence of diagrams Dn of the trivial knot with an O(n) number of crossings such that the author expects the number of Reidemeister moves needed for unknotting it to be O(n2). However, writhe and cowrithe do not prove this.
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Oshiro, Kanako, Ayaka Shimizu, and Yoshiro Yaguchi. "Up–down colorings of virtual-link diagrams and the necessity of Reidemeister moves of type II." Journal of Knot Theory and Its Ramifications 26, no. 12 (2017): 1750073. http://dx.doi.org/10.1142/s0218216517500730.

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We introduce an up–down coloring of a virtual-link (or classical-link) diagram. The colorabilities give a lower bound of the minimum number of Reidemeister moves of type II which are needed between two [Formula: see text]-component virtual-link (or classical-link) diagrams. By using the notion of a quandle cocycle invariant, we give a method to detect the necessity of Reidemeister moves of type II between two given virtual-knot (or classical-knot) diagrams. As an application, we show that for any virtual-knot diagram [Formula: see text], there exists a diagram [Formula: see text] representing
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Nasybullov, Timur. "Twisted conjugacy classes in unitriangular groups." Journal of Group Theory 22, no. 2 (2019): 253–66. http://dx.doi.org/10.1515/jgth-2018-0127.

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Abstract Let R be an integral domain of characteristic zero. In this note we study the Reidemeister spectrum of the group {{\rm UT}_{n}(R)} of unitriangular matrices over R. We prove that if {R^{+}} is finitely generated and {n>2|R^{*}|} , then {{\rm UT}_{n}(R)} possesses the {R_{\infty}} -property, i.e. the Reidemeister spectrum of {{\rm UT}_{n}(R)} contains only {\infty} , however, if {n\leq|R^{*}|} , then the Reidemeister spectrum of {{\rm UT}_{n}(R)} has nonempty intersection with {\mathbb{N}} . If R is a field and {n\geq 3} , then we prove that the Reidemeister spectrum of {{\rm UT}_{n
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ITO, NOBORU. "CHAIN HOMOTOPY MAPS FOR KHOVANOV HOMOLOGY." Journal of Knot Theory and Its Ramifications 20, no. 01 (2011): 127–39. http://dx.doi.org/10.1142/s0218216511008656.

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Explicit chain homotopy maps and chain maps for the Reidemeister moves of Khovanov homology are often useful for several proofs of the isotopy invariance of Khovanov homology. However, such maps are missing except for the first Reidemeister moves given by Viro. In this paper, such chain homotopy maps and chain maps are obtained explicitly for the second and third Reidemeister moves (Sec. 2). Some applications are given to show the usefulness of these maps (Sec. 3).
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Lee, Seoung-Ho. "REIDEMEISTER CLASSES FOR COINCIDENCE." Communications of the Korean Mathematical Society 17, no. 4 (2002): 693–708. http://dx.doi.org/10.4134/ckms.2002.17.4.693.

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Lee, Seoung Ho. "IRREDUCIBLE REIDEMEISTER ORBIT SETS." Journal of the Chungcheong Mathematical Society 27, no. 4 (2014): 721–34. http://dx.doi.org/10.14403/jcms.2014.27.4.721.

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Manturov, Vassily Olegovich. "Reidemeister moves and groups." Journal of Knot Theory and Its Ramifications 24, no. 10 (2015): 1540006. http://dx.doi.org/10.1142/s0218216515400064.

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Recently, the author discovered an interesting class of knot-like objects called free knots. These purely combinatorial objects are equivalence classes of Gauss diagrams modulo Reidemeister moves (the same notion in the language of words was introduced by Turaev [Topology of words, Proc. Lond. Math. Soc.95(3) (2007) 360–412], who thought all free knots to be trivial). As it turned out, these new objects are highly nontrivial, see [V. O. Manturov, Parity in knot theory, Mat. Sb.201(5) (2010) 65–110], and even admit nontrivial cobordism classes [V. O. Manturov, Parity and cobordisms of free knot
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Dissertations / Theses on the topic "Reidemeister"

1

Bénard, Léo. "Reidemeister torsion on character varieties." Thesis, Sorbonne université, 2018. http://www.theses.fr/2018SORUS020/document.

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Dans cette thèse on étudie un invariant topologique des variétés de dimension 3, la torsion de Reidemeister, comme un objet global sur les variétés de caractères du groupe fondamental dans SL(2,C). Dans le cas du complexe cohomologique associé à la représentation adjointe, on définit la torsion « adjointe » comme une forme différentielle méromorphe sur la variété des caractères. On reliera l’apparition de pôles ou de zéros à :-des singularités de la variété des caractères-la topologie de certaines surfaces incompressibles plongées, produites via la théorie de Culler-Shalen.On obtiendra, comme
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Alsätra, Tova. "Knots, Reidemeister Moves and Knot Invariants." Thesis, Uppsala universitet, Algebra och geometri, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-396674.

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Melo, Thiago de. "Torção de Reidemeister das formas espaciais esféricas." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-26052009-135508/.

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Neste trabalho, estudamos a ação dos grupos dos quatérnios generalizados \'Q IND.4t\', nas esferas, com o objetivo de calcularmos a torção de Reidemeister dos espaços quocientes, chamados de Formas Espaciais Esféricas Quaterniônicas. Calculamos a torção de Ray-Singer das esferas, dos espaços lenticulares e do cone sobre as esferas, este último fornecendo o caso particular do disco, usando a base para a homologia definida em [27]. Para as variedades fechadas, obtivemos a torção analítica por meio do Teorema de Cheeger-Müller [7, 22], e para o disco, por meio de uma fórmula provada por Brüning e
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Porti, Joan. "Torsion de Reidemeister pour les variétés hyperboliques." Toulouse 3, 1994. http://www.theses.fr/1994TOU30193.

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On etudie une torsion de reidemeister pour les varietes de dimension trois, compactes, orientees et dont l'interieur admet une structure hyperbolique a volume fini. Lorsque la variete est close la representation adjointe de l'holonomie est acyclique, et donc la torsion associee a cette representation est un invariant topologique. Si le bord de la variete est un tore, pour chaque courbe simple fermee du bord on construit une fonction rationnelle sur la variete des caracteres. Les degenerescences euclidiennes des varietes coniques obtenues par chirurgie de dehn sur la variete correspondent a des
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Paiva, Thales Fernando Vilamaior. "Classes de Reidemeister para coincidências entre secções de um fibrado." Universidade Federal de São Carlos, 2014. https://repositorio.ufscar.br/handle/ufscar/5907.

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Made available in DSpace on 2016-06-02T20:28:30Z (GMT). No. of bitstreams: 1 6125.pdf: 599007 bytes, checksum: 6565ffa2ff9db309956476d130dd1a8e (MD5) Previous issue date: 2014-03-28<br>Financiadora de Estudos e Projetos<br>In this work we study the theory of Reidemeister coincidence classes for coincidences between two sections s; f : B &#8594; E de um fibrado q : E &#8594; B, both the algebraic treatment by the Reidemeister action and the geometric treatment given by the theory of covering spaces and conjugacy classes of liftings. The existence of a section of a fibration implies the exist
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Galves, Ana Paula Tremura. "Decomposição celular e torção de Reidemeister para formas espaciais esféricas tetraedrais." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-01042013-102842/.

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Dada uma ação isométrica livre do grupo binário tetraedral G sobre esferas de dimensão ímpar, obtemos uma decomposição celular finita explícita para as formas espaciais esféricas tetraedrais, fazendo uso do conceito de região (ou domínio) fundamental. A estrutura celular deixa explícita uma descrição do complexo de cadeias sobre o grupo G. Como aplicações, utilizamos o complexo de cadeias e a interpretação geométrica do produto cup para calcular o anel de cohomologia da forma espacial esférica tetraedral em dimensão três, e também calculamos a torção de Reidemeister destes espaços para uma det
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Prado, Gustavo de Lima. "Deformabilidade sobre S^1 a livre de ponto fixo para auto-aplicações de T-fibrados e Reidemeister sobre S^1." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-16022011-125114/.

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Classificação das auto-aplicações de fibrados, com fibra toro, que preservam fibra sobre o círculo, com a propriedade de poderem ser deformadas sobre o círculo a uma aplicação livre de ponto fixo. Ainda, investigamos a relação entre o número de Reidemeister sobre o círculo e a propriedade acima<br>Classification of all fiber-preserving self-maps of torus bundles over the circle by the property of being able to deform them over the circle into a fixed point free map by a fiberwise homotopy over the circle. We also investigate the relationship between Reidemeister number over the circle and the
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Leturcq, David. "Compter des configurations spatiales en dimension impaire avec la torsion de Reidemeister." Thesis, Université Grenoble Alpes, 2020. http://www.theses.fr/2020GRALM025.

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Les nœuds longs étudiés dans cette thèse sont des plongements standard à l'infini de R^n dans un R^{n+2} asymptotique d'homologie entière, pour n impair. Pour ces nœuds, on définit des invariants (Z_k)_{k &gt; 1} à difféomorphismes ambiants triviaux hors d'une boule près. Ces invariants généralisent des invariants (Z_k)_{k&gt;1} définis par Bott, Cattaneo, et Rossi pour les nœuds longs de R^{n+2}, et on donne une définition plus souple de ces invariants. L'invariant Z_k est défini comme une combinaison linéaire d'intégrales de certaines formes différentielles sur des espaces de configurations
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Santos, Hildebrane Augusto dos. "Teoria de Nielsen de raizes para aplicações equivariantes." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-17082009-162658/.

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Este trabalho consiste de duas partes. Na primeira, desenvolvemos uma teoria de Nielsen equivariante para raizes de G-aplicações $f:X\\to Y$ equivariantes entre G-espaços topológicos Hausdorff, conexos, normais, localmente conexos por caminhos e semilocalmente simplesmente conexos, onde G é um grupo topológico, Na segunda parte, estudamos a questão da realização do G-número de Nielsen de raizes quando este é zero.<br>This work consists of two parts. In the firs one, we develop an equivariant Nielsen root theory for G-maps. We consider equivariant maps $f:X\\to Y$ between Hausdorff, connected,
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Dubois, Jérôme. "Torsion de Reidemeister non abélienne et forme volume sur l'espace des représentations du groupe d'un noeud." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2003. http://tel.archives-ouvertes.fr/tel-00003782.

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Pour un n\oe ud $K$ dans $S^3$, on construit dans l'esprit de Casson -- et plus précisément en s'inspirant des travaux ultérieurs de Lin (cf. J. Differential Geom. 35 (1992) 337-357) et Heusener (cf. Topology Appl. 127 (2003) 175-197) -- une forme volume sur l'espace des représentations du groupe $G_K$ du n\oe ud $K$ dans $SU(2)$. Plus exactement, si $\mathrm(Reg)(K)$ désigne l'ensemble des classes de conjugaison des représentations \emph(régulières) de $G_K$ dans $SU(2)$, alors $\mathrm(Reg)(K)$ est une variété unidimensionnelle et on établit qu'elle possède aussi une $1$-forme volume naturel
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Books on the topic "Reidemeister"

1

Porti, Joan. Torsion de Reidemeister pour les variétés hyperboliques. American Mathematical Society, 1997.

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Porti, Joan. Torsion de Reidemeister pour les variétés hyperboliques. Laboratoire de Toplogie et Géométrie, 1994.

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Kleine und mittelständische Betriebe in unternehmerischen Netzwerken: Die Reidemeister auf der Vollme im vor- und frühindustriellen Metallgewerbe der Grafschaft Mark. Steiner, 2009.

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Jerzy, Jezierski, ed. Nielsen theory and reidemeister torsion. Institute of Mathematics, Polish Academy of Sciences, 1999.

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Nicolaescu, Liviu I. Reidemeister Torsion Of 3-Manifolds. De Gruyter, Inc., 2003.

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Higher Franz-Reidemeister Torsion (Ams/Ip Studies in Advanced Mathematics). American Mathematical Society, 2002.

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Suzuki, Masaaki, Vladimir G. Turaev (Touraev), and Teruhisa Kadokami. Applications of Reidemeister Torsions to 3-Dimensional Topology. World Scientific Publishing Co Pte Ltd, 2019.

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Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion. Imperial College Press, 2002.

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Igusa, Kiyoshi. Higher Complex Torsion And the Framing Principle (Memoirs of the American Mathematical Society). American Mathematical Society, 2005.

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The Reidemeister Torsion of 3-Manifolds (De Gruyter Studies in Mathematics). Walter de Gruyter, 2002.

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Book chapters on the topic "Reidemeister"

1

Ranicki, Andrew. "Reidemeister torsion." In Springer Monographs in Mathematics. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-12011-8_16.

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Ghani, Neil, and Anne Heyworth. "A Rewriting Alternative to Reidemeister-Schreier." In Rewriting Techniques and Applications. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-44881-0_32.

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Epple, Moritz. "Berechenbare Invarianten und Elementare Begründung: Kurt Reidemeister." In Die Entstehung der Knotentheorie. Vieweg+Teubner Verlag, 1999. http://dx.doi.org/10.1007/978-3-322-80295-8_10.

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Fel’shtyn, A. L. "Attractors, Integrable Hamiltonian Systems and the Reidemeister Torsion." In Seminar on Dynamical Systems. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-7515-8_17.

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Bellettini, Giovanni, Valentina Beorchia, Maurizio Paolini, and Franco Pasquarelli. "Completeness of Reidemeister-Type Moves on Labelled Apparent Contours." In Computational Imaging and Vision. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-45191-5_6.

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Hezenci, Fatih, and Yasar Sozen. "A Note on Representation Variety of Abelian Groups and Reidemeister Torsion." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69292-6_13.

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Saleh, Rafiq. "On the Length of Knot Transformations via Reidemeister Moves I and II." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33512-9_11.

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Baumslag, Gilbert. "Free groups, the calculus of presentations and the method of Reidemeister and Schreier." In Topics in Combinatorial Group Theory. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8587-4_3.

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Baumslag, Gilbert. "Recursively presentable groups, word problems and some applications of the Reidemeister-Schreier method." In Topics in Combinatorial Group Theory. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8587-4_4.

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Murakami, Hitoshi, and Yoshiyuki Yokota. "Representations of a Knot Group, Their Chern–Simons Invariants, and Their Reidemeister Torsions." In Volume Conjecture for Knots. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1150-5_5.

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Conference papers on the topic "Reidemeister"

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Dirican, Esma, and Yasar Sozen. "Reidemeister torsion of some surfaces." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930432.

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Jafar, Haidar Dh, and Yasar Sozen. "Reidemeister torsion of Anasov representations." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930486.

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BARRETT, JOHN W., and ILEANA NAISH-GUZMAN. "THE PONZANO-REGGE MODEL AND REIDEMEISTER TORSION." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0514.

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Sozen, Yasar. "Reidemeister torsion of Hitchin representations of PSp[sub 2n](R)." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756196.

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KADOKAMI, Teruhisa. "REIDEMEISTER TORSION AND SEIFERT SURGERIES ON KNOTS IN HOMOLOGY 3-SPHERES." In Intelligence of Low Dimensional Topology 2006 - The International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770967_0011.

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