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Knots, Links, Spatial Graphs, and Algebraic Invariants

This volume contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs, both held from October 24-25, 2015, at California State University, Fullerton, CA. Included in this volume are articles that draw on...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Flapan, Erica
Otros Autores: Henrich, Allison, Kaestner, Aaron, Nelson, Sam
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2017.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo

MARC

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035 |a (OCoLC)993763011 
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049 |a UAMI 
100 1 |a Flapan, Erica. 
245 1 0 |a Knots, Links, Spatial Graphs, and Algebraic Invariants  |h [electronic resource]. 
260 |a Providence :  |b American Mathematical Society,  |c 2017. 
300 |a 1 online resource (202 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
490 1 |a Contemporary Mathematics ;  |v v.689 
500 |a Description based upon print version of record. 
505 0 |a Cover; Title page; Contents; Preface: Knots, graphs, algebra & combinatorics; Part I: Knot Theoretic Structures; Part II: Spatial Graph Theory; References; The first coefficient of Homflypt and Kauffman polynomials: Vertigan proof of polynomial complexity using dynamic programming; 1. Introduction; 2. Computation of ₀( ); 3. Computation of ₂ᵢ( ).; 4. Coefficients of the Kauffman polynomial, _{ }( , ).; 5. Polynomials of virtual diagrams.; 6. Dynamic programming; 7. Knotoids of Vladimir Turaev; 8. Acknowledgements; References 
505 8 |a Linear Alexander quandle colorings and the minimum number of colors1. Introduction; 2. Review of Quandles; 3. Coloring of Knots by Linear Alexander Quandles of order 5; 4. Main Result; 5. Four Colors is the Minimum Number of Colors; References; Quandle identities and homology; 1. Introduction; 2. Preliminary; 3. Type 3 quandles; 4. From identities to extensions and subcomplexes; 5. Inner identities; Acknowledgements; References; Ribbonlength of folded ribbon unknots in the plane; 1. Introduction; 2. Modeling Folded Ribbon Knots; 3. Ribbon Equivalence; 4. Ribbonlength 
505 8 |a 5. Local structure of folded ribbon knots6. Projection stick index and ribbonlength; Acknowledgments; References; Checkerboard framings and states of virtual link diagrams; 1. Introduction; 2. Virtual knots; 3. The Bracket polynomial; 4. Establishing the result; 5. Conclusion; References; Virtual covers of links II; 1. Background; 2. Semi-Fibered Concordance; 3. Ribbon and Slice Obstructions; 4. Injectivity of Satellite Operators; 5. Concordance and Cables of Knots in 3-manifolds; Acknowledgments; References; Recent developments in spatial graph theory; 1. Introduction 
505 8 |a 2. Intrinsic linking and knotting3. -apex graphs; 4. Conway-Gordon type theorems for graphs in ℱ( ₆) and ℱ( ₇); 5. Conway-Gordon type theorems for _{3,3,1,1}; 6. Linear embeddings of graphs; 7. Symmetries of spatial graphs in ³; 8. Graphs embedded in 3-Manifolds; References; Order nine MMIK graphs; Introduction; 1. Definitions and Lemmas; 2. Proof of Proposition 2; 3. Proof of Proposition 4; 4. Computer Verification for Size 23 through 27; Acknowledgements; References; A chord graph constructed from a ribbon surface-link; 1. Introduction 
505 8 |a 2. How to transform a (welded virtual) link diagram into a chord diagram without base crossing3. How to transform a chord graph into a ribbon surface-link in 4-space; 4. How to modify the moves on a chord diagram into the moves on a chord diagram without base crossing; References; The _{ +5} and _{3²,1ⁿ} families and obstructions to -apex.; Introduction; 1. Proof of Theorem 3; 2. Results for \On{2} and \On{3}; Appendix A. Edge lists of ₈ family graphs; Appendix B. ₈ family graphs are not 3-apex; Appendix C. Proper minors are 3-apex; References 
500 |a Partially multiplicative biquandles and handlebody-knots 
520 |a This volume contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs, both held from October 24-25, 2015, at California State University, Fullerton, CA. Included in this volume are articles that draw on techniques from geometry and algebra to address topological problems about knot theory and spatial graph theory, and their combinatorial generalizations to equivalence classes of diagrams that are preserved under a set of Reidemeister-type moves. The interconnections of these areas and their connec. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Knot theory  |v Congresses. 
650 0 |a Link theory  |v Congresses. 
650 0 |a Graph theory  |v Congresses. 
650 0 |a Invariants  |v Congresses. 
650 4 |a Manifolds and cell complexes -- Low-dimensional topology -- Relations with graph theory. 
650 6 |a Théorie des nœuds  |v Congrès. 
650 6 |a Théorie du lien  |v Congrès. 
650 6 |a Invariants  |v Congrès. 
650 7 |a Graph theory  |2 fast 
650 7 |a Invariants  |2 fast 
650 7 |a Knot theory  |2 fast 
650 7 |a Link theory  |2 fast 
655 7 |a Conference papers and proceedings  |2 fast 
700 1 |a Henrich, Allison. 
700 1 |a Kaestner, Aaron. 
700 1 |a Nelson, Sam. 
776 0 8 |i Print version:  |a Flapan, Erica  |t Knots, Links, Spatial Graphs, and Algebraic Invariants  |d Providence : American Mathematical Society,c2017  |z 9781470428471 
830 0 |a Contemporary Mathematics. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908312  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL4908312 
994 |a 92  |b IZTAP