A topological interpretation of Viro's gl(1|1)-Alexander polynomial of a graph
Sign Up to like & getrecommendations! Published in 2019 at "Topology and its Applications"
DOI: 10.1016/j.topol.2019.106870
Abstract: Abstract For an oriented trivalent graph G without source or sink embedded in S 3 , we prove that the gl ( 1 | 1 ) -Alexander polynomial Δ _ ( G , c )… read more here.
Keywords: alexander polynomial; topological interpretation; graph; viro alexander ... See more keywords
Links with non-trivial Alexander polynomial which are topologically concordant to the Hopf link
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7389
Abstract: We give infinitely many $2$-component links with unknotted components which are topologically concordant to the Hopf link, but not smoothly concordant to any $2$-component link with trivial Alexander polynomial. Our examples are pairwise non-concordant. read more here.
Keywords: alexander polynomial; hopf link; concordant hopf; topologically concordant ... See more keywords
Branched covers of quasi‐positive links and L‐spaces
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DOI: 10.1112/topo.12092
Abstract: Let $L$ be a oriented link such that $\Sigma_n(L)$, the $n$-fold cyclic cover of $S^3$ branched over $L$, is an L-space for some $n \geq 2$. We show that if either $L$ is a strongly… read more here.
Keywords: branched covers; space; alexander polynomial; covers quasi ... See more keywords
Adjoint twisted Alexander polynomial of twisted Whitehead links
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DOI: 10.1142/s0218216518500268
Abstract: The adjoint twisted Alexander polynomial has been computed for twist knots [A. Tran, Twisted Alexander polynomials with the adjoint action for some classes of knots, J. Knot Theory Ramifications 23(10) (2014) 1450051], genus one two-bridge… read more here.
Keywords: adjoint twisted; alexander polynomial; twisted whitehead; whitehead links ... See more keywords