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Strict Equivalence of Multi-Virtual Linkoids


14:05 – 15:35 (Shanghai)
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Abstract

We utilize multi-virtual knot theory where there are a

multiplicity of virtual crossings to study strict virtual linkoids.

In strict virtual linkoid theory, local moves define all virtual

moves and Reidemeister moves.

In the strict equivalence, no moves, classical or virtual, can

transfer an arc across a linkoid endpoint.

By taking closures of strict virtual linkoids that are multi-virtual

knots and links, we obtain new invariants for strict virtual linkoids.

Generalized bracket polynomial invariants and generalized loop bracket

polynomial invariants (for planar strict virtual linkoids) are studied

in this context.

The talk defines virtual polar links where there are degree two nodes

in virtual link diagrams across which isotopies are forbidden. The

talk will show how multi-virtual theory and its concepts can be

applied to obtain invariants for polar virtual links. The talk will

also discuss graph theoretic background to the talk and many open

problems and ideas that are associated with this subject.

Speakers 1

LK
Louis Kauffman

Past sessions

Jun 6
The Krichever correspondence and the theory of commuting ordinary differential operators
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Sat, Jun 13 · 14:05 (Shanghai)
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