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#### The Mystery of Knots

World Scientific Publishing Company 1999; US$ 107.00One of the most significant unsolved problems in mathematics is the complete classification of knots. The main purpose of this book is to introduce the reader to the use of computer programming to obtain the table of knots. The author presents this problem as clearly and methodically as possible, starting from the very basics. Mathematical ideas and... more...

#### Algebraic Topology

Springer 2009; US$ 189.00Covers the 2007 Abel Symposium that took place at the University of Oslo in August 2007. This book presents various perspectives and constructions that have enabled broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems. more...

#### The Mathematics of Knots

Springer 2010; US$ 179.00The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and... more...

#### Topics in Low-Dimensional Topology

World Scientific Publishing Company 1999; US$ 47.00Recent success with the four-dimensional Poincaré conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincaré conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight.... more...

#### Suites de Sturm, indice de Maslov et périodicité de Bott (Progress in Mathematics) (French Edition)

Springer 2008; US$ 69.95La théorie classique des suites de Sturm fournit un algorithme pour déterminer le nombre de racines d?un polynôme à coefficients réels contenues dans un intervalle donné. L?objet principal de ce mémoire est de montrer qu?une généralisation adéquate de la théorie des suites de Sturm fournit entre autres choses: une notion d?indice de Maslov pour un... more...

#### Combinatorial Homotopy and 4-Dimensional Complexes

De Gruyter 1991; US$ 210.00Combinatorial Homotopy and 4-Dimensional Complexes (Architektur Auf Naxos Und Paros) more...

#### Braids

World Scientific Publishing Company 2009; US$ 172.00This book is an indispensable guide for anyone seeking to familarize themselves with research in braid groups, configuration spaces and their applications. Starting at the beginning, and assuming only basic topology and group theory, the volume's noted expositors take the reader through the fundamental theory and on to current research and applications... more...

#### Hypoelliptic Laplacian and Bott–Chern Cohomology

Springer 2013; US$ 109.00The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann-Roch-Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott-Chern cohomology, which is a refinement for complex manifolds of de Rham cohomology. When the manifolds are Kähler, our main... more...

#### Using the Borsuk-Ulam Theorem

Springer 2008; US$ 49.95A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists... more...