Transverse string topology and the cord algebra

Somnath Basu; Jason McGibbon; Dennis Sullivan; Michael Sullivan

doi:10.4310/JSG.2015.v13.n1.a1

Transverse string topology and the cord algebra

Somnath Basu
, Jason McGibbon
, Dennis Sullivan
, Michael Sullivan

Mathematics

State University of New York Binghamton University
Massachusetts Institute of Technology
University of Massachusetts

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We define a coalgebra structure for open strings transverse to any framed codimension 2 submanifold K⊂M. When the submanifold is a knot in R³; we show this structure recovers a specialization of Ng cord algebra [11], a non-trivial knot invariant which is not determined by a number of other knot invariants.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Journal of Symplectic Geometry
Volume	13
Issue number	1
DOIs	https://doi.org/10.4310/JSG.2015.v13.n1.a1
State	Published - 2015

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10.4310/JSG.2015.v13.n1.a1

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title = "Transverse string topology and the cord algebra",

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AB - We define a coalgebra structure for open strings transverse to any framed codimension 2 submanifold K⊂M. When the submanifold is a knot in R3; we show this structure recovers a specialization of Ng cord algebra [11], a non-trivial knot invariant which is not determined by a number of other knot invariants.

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DO - 10.4310/JSG.2015.v13.n1.a1

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JO - Journal of Symplectic Geometry

JF - Journal of Symplectic Geometry

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Transverse string topology and the cord algebra

Abstract

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