Gauss Paragraphs of Classical Links and a Characterization of Virtual Link Groups
نویسنده
چکیده
A classical link in 3-space can be represented by a Gauss paragraph encoding a link diagram in a combinatorial way. A Gauss paragraph may code not a classical link diagram, but a diagram with virtual crossings. We present a criterion and a linear algorithm detecting whether a Gauss paragraph encodes a classical link. We describe Wirtinger presentations realizable by virtual link groups.
منابع مشابه
Gauss Phrases Realizable by Classical Links
A classical link in 3-space can be represented by a Gauss phrase encoding a plane diagram of the link in a purely combinatorial way. A Gauss phrase may give rise not to a classical link, but to a diagram with virtual crossings. We describe a linear algorithm determining whether a Gauss phrase encodes a classical link. We characterize Wirtinger presentations realizable by virtual link groups.
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