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math.GT2025
Amalgamations along surfaces with boundary in a handlebody
Siqi Ding, Fengchun Lei, Wei Lin +1
Let M be a connected orientable 3-manifold, and F a compact connected orientable surface properly embedded in M. If F cuts M into two connected 3-manifolds X and Y, that is, M=X \c…
math.GT2022
A standard form of incompressible surfaces in 3-dimensional handlebodies
Wei Lin, Fengchun Lei
Applying Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give…
math.GT2022
A meridian lemma for fully alternating links in thickened surfaces
Wei Lin
Menasco showed that a closed surface in the complement of a non-split prime alternating link in contains a circle isotopic in the link complement to a meridian of the links.…