Virtually symmetric representations and marked Gauss diagrams
Sign Up to like & getrecommendations! Published in 2022 at "Topology and its Applications"
DOI: 10.1016/j.topol.2021.107936
Abstract: In this paper we define virtually symmetric representations of virtual braid group $VB_n$ and prove that many previously known representations are equivalent to virtually symmetric representations. Using a virtually symmetric representation we define virtual link… read more here.
Keywords: group; marked gauss; virtually symmetric; gauss diagrams ... See more keywords
Parity conditions for realizability of Gauss diagrams
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Knot Theory and Its Ramifications"
DOI: 10.1142/s0218216519500159
Abstract: We consider a problem of realizability of Gauss diagrams by closed plane curves where the plane curves have only double points of transversal self-intersection. We formulate the necessary and sufficient conditions for realizability. These conditions… read more here.
Keywords: parity conditions; realizability; conditions realizability; gauss diagrams ... See more keywords