A survey on the differential and symplectic geometry of linking numbers

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Abstract

The aim of the present survey mainly consists in illustrating some recently emerged differential and symplectic geometric aspects of the ordinary and higher order linking numbers of knot theory, within the modern geometrical and topological framework, constantly referring to their multifaceted physical origins and interpretations.
Original languageEnglish
Pages (from-to)139-197
Number of pages59
JournalMilan Journal of Mathematics
Volume74
DOIs
Publication statusPublished - 2006

Keywords

  • Symplectic geometry, knot theory, topological methods in hydrodynamics

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