Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant

• Autorzy: Victor V. Goryunov , Jonathan W. Hill
• Języki publikacji: EN

Abstrakty

EN

We consider a contractible closure of the space of Legendrian knots in the standard contact 3-space. We show that in this context the space of finite-type complex-valued invariants of Legendrian knots is isomorphic to that of framed knots in $R^3$ with an extra order 1 generator (Maslov index) added.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 50
• Numer: 1
• Strony: 107-122

Daty

wydano

1999

Twórcy

autor

Victor V. Goryunov

• Department of Mathematical Sciences, Division of Pure Mathematics, The University of Liverpool, Liverpool L69 3BX, U.K.

autor

Jonathan W. Hill

• Department of Mathematical Sciences, Division of Pure Mathematics, The University of Liverpool, Liverpool L69 3BX, U.K.

Bibliografia

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