A number of important advances in understanding the curvature of surfaces in three- and higher dimensional space have occurred in the decades following 1950. A method of cutting up surfaces, called surgery on manifolds, enabled the resolution of some...

In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds. It arises naturally from the study of the theory of differential equations. Differential geometry is the study of geometry using...

1584882530 Differential geometry and topology; with a view to dynamical systems. Burns, Keith and Marian Gidea. Chapman & Hall/CRC 2005 389 pages $89.95 Hardcover Studies in advanced mathematics QA641 This mathematical textbook by...

ABSTRACT Lattice modeling is applied to investigate how the configurations of local chain juxtapositions may provide information about whether two ring polymers (loops) are topologically linked globally. Given a particular juxtaposition, the conditional probability that the loops are linked is determined by exact...