Quandles and Topological Pairs: Symmetry, Knots, and Cohomology

ISBN-13: 9789811067921 / Angielski / Miękka / 2017 / 136 str.

Takefumi Nosaka

Recenzje

"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)