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math.GT2008
Finite-type invariants for curves on surfaces
Noboru Ito
This study defines finite-type invariants for curves on surfaces and reveals the construction of these finite-type invariants for stable homeomorphism classes of curves on compact…
math.GT2007★ 1 cited
Invariants via word for curves and fronts
Noboru Ito
We construct the infinite sequence of invariants for curves in surfaces by using word theory that V. Turaev introduced. For plane closed curves, we add some extra terms, e.g. the r…