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15 papers · 1 filter
Every negative amphichiral knot is rationally slice
Alessio Di Prisa, Jaewon Lee, Oğuz Şavk
In 2009, Kawauchi proved that every strongly negative amphichiral knot is rationally slice. However, as shown by Hartley in 1980, there are examples of negative amphichiral knots t…
Convex cocompact groups in real hyperbolic spaces with limit set a Pontryagin sphere
Sami Douba, Gye-Seon Lee, Ludovic Marquis +1
We exhibit two examples of convex cocompact subgroups of the isometry groups of real hyperbolic spaces with limit set a Pontryagin sphere: one generated by reflections of $\ma…
On lens spaces bounding smooth 4-manifolds with
Woohyeok Jo, Jongil Park, Kyungbae Park
We study which lens spaces can bound smooth 4-manifolds with second Betti number one under various topological conditions. Specifically, we show that there are infinite families of…
Cables of the figure-eight knot via real Frøyshov invariants
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
We prove that the -cable of the figure-eight knot is not smoothly slice when is odd, by using the real Seiberg-Witten Frøyshov invariant of Konno-Miyazawa-Taniguchi. Fo…
Continuant, Chebyshev polynomials, and Riley polynomials
Kyeonghee Jo, Hyuk Kim
In the previous paper, we showed that the Riley polynomial of each 2-bridge knot is split into , for some integral coeffic…
Anosov triangle reflection groups in SL(3,R)
Gye-Seon Lee, Jaejeong Lee, Florian Stecker
We identify all Anosov representations of compact hyperbolic triangle reflection groups into the higher rank Lie group . Specifically, we prove that such…