By William L. Burke
By Karl Menger
By Ilia Itenberg,Burglind Jöricke,Mikael Passare
The articles during this quantity are invited papers from the Marcus Wallenberg symposium and concentrate on learn topics that bridge the gap between analysis, geometry, and topology. The encounters among those 3 fields are common and sometimes supply impetus for significant breakthroughs in applications. Topics comprise new advancements in low dimensional topology concerning invariants of hyperlinks and 3 and 4 manifolds; Perelman's magnificent facts of the Poincare conjecture; and the hot advances made in algebraic, complicated, symplectic, and tropical geometry.
By Jianhong Wu
By Liviu I. Nicolaescu
This is a cutting-edge advent to the paintings of Franz Reidemeister, Meng Taubes, Turaev, and the writer at the inspiration of torsion and its generalizations. Torsion is the oldest topological (but now not with appreciate to homotopy) invariant that during its nearly 8 a long time of life has been on the heart of many vital and incredible discoveries. in past times decade, within the paintings of Vladimir Turaev, new issues of view have emerged, which became out to be the "right ones" so far as gauge conception is concerned.
The ebook gains usually the recent elements of this venerable suggestion. The theoretical foundations of this topic are awarded in a mode available to these, who desire to study and comprehend the most rules of the speculation. specific emphasis is upon the various and relatively assorted concrete examples and strategies which catch the subleties of the speculation higher than any summary basic outcome. lots of those examples and methods by no means seemed in print earlier than, and their selection is usually justified via ongoing present learn at the topology of floor singularities.
The textual content is addressed to mathematicians with geometric pursuits who are looking to turn into cozy clients of this flexible invariant.
By Giovanni Bellettini
By Remi Chauvin,Christine Lepetit,Bernard Silvi,Esmail Alikhani
By Diethard Ernst Pallaschke,R. Urbanski
By H.S.M. Coxeter,G. Beck