Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant
Victor Goryunov; Jonathan Hill
Banach Center Publications (1999)
- Volume: 50, Issue: 1, page 107-122
- ISSN: 0137-6934
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topGoryunov, Victor, and Hill, Jonathan. "Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant." Banach Center Publications 50.1 (1999): 107-122. <http://eudml.org/doc/208999>.
@article{Goryunov1999,
abstract = {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.},
author = {Goryunov, Victor, Hill, Jonathan},
journal = {Banach Center Publications},
keywords = {Legendrian curve; Legendrian knot; finite type invariant; plane front; Vassiliev invariants},
language = {eng},
number = {1},
pages = {107-122},
title = {Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant},
url = {http://eudml.org/doc/208999},
volume = {50},
year = {1999},
}
TY - JOUR
AU - Goryunov, Victor
AU - Hill, Jonathan
TI - Finite-type invariants of Legendrian knots in the 3-space: Maslov index as an order 1 invariant
JO - Banach Center Publications
PY - 1999
VL - 50
IS - 1
SP - 107
EP - 122
AB - 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.
LA - eng
KW - Legendrian curve; Legendrian knot; finite type invariant; plane front; Vassiliev invariants
UR - http://eudml.org/doc/208999
ER -
References
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