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Knot Weight Systems from Graded Symplectic Geometry
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2011 (English)Article in journal (Refereed) Submitted
Abstract [en]

We show that from an even degree symplectic NQ-manifold, whose homological vector field Q preserves the symplectic form, one can construct a weight system for tri-valent graphs with values in the Q-cohomology ring, satisfying the IHX relation. Likewise, given a representation of the homological vector field, one can construct a weight system for the chord diagrams, satisfying the IHX and STU relations. Moreover we show that the use of the 'Gronthendieck connection' in the construction is essential in making the weight system dependent only on the choice of the NQ-manifold and its representation.

Place, publisher, year, edition, pages
2011.
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-196355OAI: oai:DiVA.org:uu-196355DiVA: diva2:609969
Available from: 2013-03-08 Created: 2013-03-08 Last updated: 2016-04-25

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http://arXiv.org/pdf/1110.5234.pdf
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