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12 papers · 1 filter
A diffeomorphism-invariant metric on the space of vector-valued one-forms
Martin Bauer, Eric Klassen, Stephen C. Preston +1
In this article we introduce a diffeomorphism-invariant Riemannian metric on the space of vector valued one-forms. The particular choice of metric is motivated by potential future…
Towards the Sato-Tate Groups of Trinomial Hyperelliptic Curves
Melissa Emory, Heidi Goodson, Alexandre Peyrot
We consider the identity component of the Sato-Tate group of the Jacobian of curves of the form …
Platonic solids and high genus covers of lattice surfaces
Jayadev S. Athreya, David Aulicino, W. Patrick Hooper
We study the translation surfaces obtained by considering the unfoldings of the surfaces of Platonic solids. We show that they are all lattice surfaces and we compute the topology…
Evolution of 21st Century Sea-level Rise Projections
Andra J. Garner, Jeremy L. Weiss, Adam Parris +4
The modern era of scientific global-mean sea-level rise (SLR) projections began in the early 1980s. In subsequent decades, understanding of driving processes has improved, and new…
Combining Alchemical Transformation with Physical Pathway to Accurately Compute Absolute Binding Free Energy
Nanjie Deng, Lauren Wickstrom, Emilio Gallicchio
We present a new method that combines alchemical transformation with physical pathway to accurately and efficiently compute the absolute binding free energy of receptor-ligand comp…
Evolutionary algorithms converge towards evolved biological photonic structures
Mamadou Aliou Barry, Vincent Berthier, Bodo D. Wilts +6
Nature features a plethora of extraordinary photonic architectures that have been optimized through natural evolution. While numerical optimization is increasingly and successfully…