Algebraic Modeling of Topological and Computational Structures and Applications

PART ONE: Konstantinos Karvounis and Sofia Lambropoulou, Link invariants from the Yokonuma Hecke algebras.- Dimos Goundaroulis, A survey on Temperley-Lieb-type quotients from the Yokonuma-Hecke algebras.- Maria Chlouveraki, Representation theory of framisations of knot algebras.- Loic Poulain d'Andecy, Invariants for links from classical and affine Yokonuma- Hecke algebras.- Marcelo Flores, On the framization of the Hecke algebra of type B.- Bostjan Gabrovsek and Maciej Mroczkowski, Link diagrams in Seifert manifolds and applications to skein modules.- Ioannis Diamantis and Sofia Lambropoulou, "On the HOMFLYPT skein module of the lens spaces $L(p,1)$ via braids.- Dimitrios Kodokostas and Sofia Lambropoulou, Some Hecke-type algebras derived from the braid group with two fixed strands.- Valerij G. Bardakov, Braid groups in handlebodies and corresponding Hecke algebras.- Nondas E. Kechagias, Infinite loop spaces, Dyer-Lashof algebra, cohomology of the infinite symmetric group and modular invariants.- PART TWO: Kenneth Millett and Eleni Panagiotou, Linking in systems with one-dimensional periodic boundaries.- Neslihan Gueguemcue and Louis H. Kauffman, On the height of knotoids.- Stephan Klaus, Fourier braids.- Niki Vergadou, Molecular simulation of ionic liquids: complex dynamics and structure.- Stathis Antoniou and Sofia Lambropoulou, Topological surgery in nature.- PART THREE: Jiannis A. Antoniadis and Aristides Kontogeorgis, Automorphisms of curves.- Nicola Angius, Maria Dimarogkona and Petros Stefaneas, Building and integrating semantic theories over Institutions.- Sergey V. Sudoplatof, Yiannis Kiouvrekis and Petros Stefaneas Generic constructions and generic limits.- Katerina Ksystra, Nikos Triantafyllou and Petros Stefaneas, On combining algebraic specifications with first-order logic via Athena.- Theodoros Mitsikas, Petros Stefaneas and Iakovos Ouranos, A rule-based approach for air traffic control in the vicinity of the airport.- ?arianthiBozapalidou Sequential Machines and Affine Musical Contours.- Antonios Kalampakas, Nikolaos Triantafyllou, Katerina Ksystra and Petros Stefaneas, A formal representation of video content with the picture hyperoperation,- Evi Karali, Novel approaches to medical information processing and analysis.

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• Geometria
• Álgebra
• Fundamentos da Matemática
• Teoria combinatória e dos grafos
• Teoria dos números
• Topologia

topology;algebraic modeling;knot theory;braids;Jones polynomial;knot algebras;low dimensional topology;algebra and computer science;number theory;polymer entanglements;applications to natural sciences;combinatorics