Homology of spaces of knots in any dimensions

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dc.contributor.author Vassiliev, V. en
dc.date.accessioned 2008-12-11T13:24:38Z
dc.date.available 2008-12-11T13:24:38Z
dc.date.issued 2001-07-15 en
dc.identifier.citation Vassiliev, V. (2001) Homology of Spaces of Knots in Any Dimensions. Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences, 359(1784), pp. 1343-1364.
dc.identifier.issn 1471-2962 en
dc.identifier.uri http://hdl.handle.net/2086/524
dc.description First calculations of cohomology classes (including zero-dimensional classes, i.e. the numerical invariants of knots) of spaces of knots in Euclidean spaces are presented, and combinatorial expressions for these classes are given. A deep analogy between the topological theory of knot spaces and the theory of arrangements of planes is indicated and exploited. This original paper demonstrates international excellence in fundamental research and will make a significant impact on the advancement of academic research in topology. en
dc.language.iso en en
dc.publisher The Royal Society en
dc.subject RAE 2008
dc.subject UoA 25 General Engineering and Mineral & Mining Engineering
dc.title Homology of spaces of knots in any dimensions en
dc.type Article en
dc.identifier.doi http://dx.doi.org/10.1098/rsta.2001.0838 en
dc.researchgroup Textiles Engineering and Materials (TEAM)

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