Výsledky vyhledávání - "Krishna, Siddhi"

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Taut foliations, braid positivity, and unknot detection

Autor: Krishna, Siddhi

We study positive braid knots (the knots in the three-sphere realized as positive braid closures) through the lens of the L-space conjecture. This conjecture predicts that if $K$ is a non-trivial positive braid knot, then for all $r < 2g(K)-1$, the 3

Externí odkaz: http://arxiv.org/abs/2312.00196

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Twist positivity, L-space knots, and concordance

Autor: Krishna, Siddhi, Morton, Hugh

Many well studied knots can be realized as positive braid knots where the braid word contains a positive full twist; we say that such knots are twist positive. Some important families of knots are twist positive, including torus knots, 1-bridge braid

Externí odkaz: http://arxiv.org/abs/2211.17109

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$n$-bridge braids and the braid index

Autor: Gollero, Dane, Krishna, Siddhi, Loving, Marissa, Neri, Viridiana, Tahir, Izah, White, Len

In this work, we find a closed form formula for the braid index of an $n$-bridge braid, a class of positive braid knots which simultaneously generalizes torus knots, 1-bridge braids, and twisted torus knots. Our proof is elementary, effective, and se

Externí odkaz: http://arxiv.org/abs/2208.13655

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Dissertation/ Thesis

Taut foliations, positive braids, and the L-space conjecture

Autor: Krishna, Siddhi

Thesis advisor: Joshua E. Greene
We construct taut foliations in every closed 3-manifold obtained by r-framed Dehn surgery along a positive 3-braid knot K in S^3, where r < 2g(K)-1 and g(K) denotes the Seifert genus of K. This confirms a predict

Externí odkaz: http://hdl.handle.net/2345/bc-ir:108731

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Brunnian exotic surface links in the 4-ball

Autor: Hayden, Kyle, Kjuchukova, Alexandra, Krishna, Siddhi, Miller, Maggie, Powell, Mark, Sunukjian, Nathan

This paper investigates the exotic phenomena exhibited by links of disconnected surfaces with boundary that are properly embedded in the 4-ball. Our main results provide two different constructions of exotic pairs of surface links that are Brunnian,

Externí odkaz: http://arxiv.org/abs/2106.13776

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Taut Foliations, Positive 3-Braids, and the L-Space Conjecture

Autor: Krishna, Siddhi

Publikováno v: Journal of Topology. 13 (2020), no. 3. 1003-1033

We construct taut foliations in every closed 3-manifold obtained by $r$-framed Dehn surgery along a positive 3-braid knot $K$ in $S^3$, where $r < 2g(K)-1$ and $g(K)$ denotes the Seifert genus of $K$. This confirms a prediction of the L-space Conject

Externí odkaz: http://arxiv.org/abs/1809.03959

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