Statistical mechanics of elastica for the shape of supercoiled DNA: hyperelliptic elastica of genus three

Cites Work

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Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica
The addition law attached to a stratification of a hyperelliptic Jacobian variety
Euler's elastica and beyond
Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
Statistical mechanics of non-stretching elastica in three-dimensional space
An algebro-geometric model for the shape of supercoiled DNA
Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
Heat equations in a nonholomic frame
Kashiwa lectures on new approaches to the monster
From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials
Inversion of a general hyperelliptic integral and particle motion in Hořava–Lifshitz black hole space-times
Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties
Statistical mechanics of elastica on a plane: origin of the MKdV hierarchy
Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
Statistical Field Theory
The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
σ-Functions: Old and New Results
On the Moduli of a Quantized Elastica in ℙ and KdV Flows: Study of Hyperelliptic Curves as an Extension of Euler's Perspective of Elastica I
Relations in a quantized elastica
On Gauge Invariance and Vacuum Polarization
Loop spaces, characteristic classes and geometric quantization