Advances in Knot Theory

Häftad, Engelska, 2026

AvAlessia Cattabriga,Paolo Cavicchioli,Louis H. Kauffman,Sofia Lambropoulou

2 239 kr

Kommande

This volume contains the proceedings of the Special Session on Knot Theory and Applications, which was held during the 2nd International AMS-UMI Joint Meeting, July 23-26, 2025, in Palermo, Italy. Knots are ubiquitous-from closed loops of DNA and tangled polymers to the vortex filaments of turbulent fluids. Knot theory provides a language to understand these intricate patterns, and in recent years it has become one of the most dynamic branches of modern mathematics. This volume brings together an international group of leading researchers. The contributions in the volume concern the following topics: geometric insights into knots and links and novel approaches to braid theory and 4-manifolds, new diagrammatic invariants, and connections to physics and materials science. Alongside classical theory, readers will find generalizations such as pseudo-knots, welded knots, virtual knots, knotoids, and other structures that expand the boundaries of knot theory. Whether you are a specialist in topology or simply curious about how mathematics untangles complexity, this volume offers a window into the living landscape of knot theory today.

Produktinformation

Utgivningsdatum2026-10-04
Mått178 x 254 x undefined mm
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor229
FörlagAmerican Mathematical Society
ISBN9781470479428

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

ArticlesColin Adams, Francisco Gomez-Paz, Jiachen Kang, Lukas Krause, Gregory Li, Reyna Li, Chloe Marple and Ziwei Tan, Hyperbolicity and Volumes of BonglesMaria Rita Casali and Paola Cristofori, Kirby diagrams, trisections and gems of PL 4-manifolds: relationships, results and open problemsPaolo Bellingeri, Celeste Damiani, Oscar Ocampo and Charalampos Stylianakis, Powers of half-twists and congruence subgroups of braid groupsAnastasios Kokkinakis, Framed Braid EquivalencesAlessia Cattabriga, Paolo Cavicchioli, Rama Mishra and Visakh Narayanan, Knots and non-orientable surfaces in 3-manifoldsNeslihan Gugumcu and Louis H. Kauffman, State Summation Invariants for Knots, Links, Knotoids and LinkoidsTumpa Mahato, Rama Mishra and Sahil Joshi, Non-Triviality of Welded Knots and Ribbon Torus-KnotsIoannis Diamantis, Sofia Lambropoulou and Sonia Mahmoudi, The Theory of Doubly Periodic Pseudo TanglesIoannis Diamantis, Sofia Lambropoulou and Sonia Mahmoudi, From planar to annular to toroidal bracket polynomials for pseudo knots and linksRenzo L. Ricca and Samuele Faglioni, Field-line helicity and adapted polynomials in vortex knots dynamics

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