A New Perspective for an Existing Homology Theory of Links Embedded in I-Bundles

Details A New Perspective for an Existing Homology Theory of Links Embedded in I-Bundles A New Perspective for an Existing Homology Theory of Links Embedded in I-Bundles

2008-01-21

arxiv.org/abs/0801.3227v1

Mathematics

Geometric Topology

pdflatex, 24 pages, 54 figures

Scientific paper

This paper introduces a homology theory for links in I-bundles over an
orientable surface. The theory is unique in that the elements of the chain
groups are surfaces instead of diagrams. It is then shown this theory yields
the same results as the homology theory constructed by Asaeda, Przytycki and
Sikora.

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