Anup Poudel

A determinant formula of the Jones polynomial for a family of braids

Derya Asaner, Sanjay Kumar, Melody Molander, Andrew Pease et autres

In 2012, Cohen, Dasbach, and Russell presented an algorithm to construct a weighted adjacency matrix for a given knot diagram. In the case of pretzel knots, it is shown that after evaluation, the determinant of the matrix recovers the Jones polynomial. Although …

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$U_q(\mathfrak{gl}(m|n))$ bounds on the minimal genus of virtual links

Micah Chrisman, Killian Davis, Anup Poudel

For links $L \subset Σ\times [0,1]$, where $Σ$ is a closed orientable surface, we define a $U_q(\mathfrak{gl}(1|1))$ Reshetikhin-Turaev invariant with coefficients in $\mathbb{Z}[H_1(Σ)]$. This invariant turns out to be equivalent to an infinite cyclic version of the Carter-Silver-Williams (CSW) polynomial. The importance …

$U_q(\mathfrak{gl}(m|n))$ bounds on the minimal genus of virtual links

Micah Chrisman, Killian Davis, Anup Poudel

For links $L \subset Σ\times [0,1]$, where $Σ$ is a closed orientable surface, we define a $U_q(\mathfrak{gl}(1|1))$ Reshetikhin-Turaev invariant with coefficients in $\mathbb{Z}[H_1(Σ)]$. This invariant turns out to be equivalent to an infinite cyclic version of the Carter-Silver-Williams (CSW) polynomial. The importance …

Piezoelectric polylactic acid-based biomaterials: Fundamentals, challenges and opportunities in medical device design

Richard Schönlein, Pravin Bhattarai, Mohammad Raef, Xabier Larrañaga et autres

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A comparison between $SL_n$ spider categories

Anup Poudel

Abstract We prove a conjecture of Lê and Sikora by providing a comparison between various existing $SL_n$ skein theories. While doing so, we show that the full subcategory of the spider category, $\mathcal {S}p(SL_n)$ , defined by Cautis–Kamnitzer–Morrison, whose objects are monoidally …

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The Effect of Nanomechanical Stimulation Strategies on the Shear Piezoelectric Response of Poly( l -lactide) (PLLA)

Richard Schönlein, Pravin Bhattarai, Anup Poudel, Robert Hernández Aguirresarobe et autres

Electrical stimulation has been shown to enhance tissue regeneration, which is why piezoelectric-polymer-based scaffolds are on the rise for advanced tissue-engineering approaches. Recent studies have shown that electrical cues can modulate cell function in vitro and in vivo and that these cues …

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A determinant formula of the Jones polynomial for a family of braids

Derya Asaner, Sanjay Kumar, Melody Molander, Andrew Pease et autres

In 2012, Cohen, Dasbach, and Russell presented an algorithm to construct a weighted adjacency matrix for a given knot diagram. In the case of pretzel knots, it is shown that after evaluation, the determinant of the matrix recovers the Jones polynomial. Although …

A functional analysis of a resorbable citrate-based composite tendon anchor

Arun Thirumaran, Meletios-Nikolaos Doulgkeroglou, Magesh Sankar, Jeremiah T. Easley et autres

-D, l-lactic acid) and tricalcium phosphate PLDLA-TCP.

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Lie superalgebra invariants and almost classical knots

Micah Chrisman, Anup Poudel

A virtual link is said to be almost classical (AC) if it has a homologically trivial representative in some thickened surface $Σ\times [0,1]$, where $Σ$ is a closed orientable surface. AC links provide a useful window for observing the geometric topology of …

Enriched string-net models and their excitations

David Geoffrey Green, Peter Huston, Kyle Kawagoe, David Penneys et autres

Boundaries of Walker-Wang models have been used to construct commuting projector models which realize chiral unitary modular tensor categories (UMTCs) as boundary excitations. Given a UMTC A representing the Witt class of an anomaly, the article \cite{MR4640433} gave a commuting projector model …

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A Functional Analysis of a Resorbable Citrate-based Composite Tendon Anchor

Arun Thirumaran, Anup Poudel, Magesh Sankar, Meletios-Nikolaos Doulgkeroglou et autres

Abstract Orthopaedic fixation seeks solutions to the challenges of non-union, reconstructive surgery, and soft tissue injuries by providing stability and tissue alignment during the healing process. Risks associated with fixation devices such as peri-implant resorption, implant loosening and sub-optimal device resorption remain …

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Effect of masonry wall on Strength and Ductility in common RC frame low storey buildings

Anup Poudel, Rajan Suwal

The Nepal National Building code (NBC) was promulgated in 2003 and is divided into four different parts in order to cover buildings constructed in Nepal. NBC 105 has undergone a major update in 2020 with its repercussions on existing prevalent buildings. So, …

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