Quandles and Topological Pairs
Symmetry, Knots, and Cohomology
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Beschreibung
Shows how the quandle has been evaluated in relation to mathematics or topology while the quandle was often considered to be something combinatorial
Constitutes a guide on quandles at a time when few surveys of quandles and few topological books on quandles exist
Emphasizes the geometric advantages of quandles at a high level mathematically while the quandle is used as an algebraic method in many books
Shows how the quandle has been evaluated in relation to mathematics or topology while the quandle was often considered to be something combinatorial Constitutes a guide on quandles at a time when few surveys of quandles and few topological books on quandles exist Emphasizes the geometric advantages of quandles at a high level mathematically while the quandle is used as an algebraic method in many books Includes supplementary material: sn.pub/extras
Autor*in
Takefumi Nosaka
Themen in »Quandles and Topological Pairs«
Quandle Relative objects Low dimensional topology Knot Group cohomology and cup products
Stimmen zu »Quandles and Topological Pairs«
“This short monograph is packed a great deal of interesting mathematics. The book concerns quandles, algebraic structures with axioms related to the Reidemeister moves, and their applications to knot and link invariants. … An interesting connection with Chern-Simons classes rounds out this fun and interesting monograph.” (Sam Nelson, zbMATH 1411.57001, 2019)“This book aims to be a crash course in quandle theory, and it achieves this goal. … the present book is unique in its emphasis on the homotopy theory of the rack space and the relation to group cohomology. … There is still much worth exploring in this direction, and the author does an excellent job bringing the reader to the front of current research.” (Markus Szymik, Mathematical Reviews, July, 2018)
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