Combinatorial formulas for cohomology of spaces of knots

De Montfort University Open Research Archive

Show simple item record

dc.contributor.author Vassiliev, V. en
dc.date.accessioned 2008-12-11T13:24:42Z
dc.date.available 2008-12-11T13:24:42Z
dc.date.issued 2004
dc.identifier.citation Vassiliev, V. (2004) Combinatorial Formulas for Cohomology of Spaces of Knots. In: Bryden, J.M., eds. Advances in topological quantam field, IOS Press and Kluwer Academic Publishers in conjunction with the NATO Scientific Affairs Divisiontheory, pp. 1-21.
dc.identifier.isbn 1-4020-2771-0 en
dc.identifier.uri http://hdl.handle.net/2086/535
dc.description A general method of constructing combinatorial formulas detecting non-equivalence of knots in R3 is invented and demonstrated on the simplest example. The method is based on the study of the discriminant space, consisting of singular knots. A generalization of these formulas is able to identify or separate textile structures, i.e. double periodic knots and links. This generalization, together with concrete calculations, is a part of the current work on characterizing textile structures by topological methods. This method will be used by the textile scientists in the studies of structure-property relationship of textiles. en
dc.language.iso en en
dc.publisher IOS Press and Kluwer Academic Publishers in conjunction with the NATO Scientific Affairs Division en
dc.subject RAE 2008
dc.subject UoA 25 General Engineering and Mineral & Mining Engineering
dc.title Combinatorial formulas for cohomology of spaces of knots en
dc.type Book chapter en
dc.researchgroup Textiles Engineering and Materials (TEAM)


Files in this item

This item appears in the following Collection(s)

Show simple item record