Related papers: A User's Guide: Relative Thom Spectra via Operadic…
This is a technical introduction to the paper "Extension of twisted Hodge metrics for Kahler morphisms" by the authors.
We extend the theory of Thom spectra and the associated obstruction theory for orientations in order to support the construction of the string orientation of tmf, the spectrum of topological modular forms. We also develop the analogous…
This is a survey of the spectral theory of tensors.
This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.
This is an expository article on diagrammatic representations of knots and links in various settings via braids.
The paper is mostly a survey on recent results in Diophantine approximation, with emphasis on properties of exponents measuring various notions of Diophantine <approximation.
It is explained how the time evolution of the operadic variables may be introduced. As an example, an operadic Lax representation of the harmonic oscillator is considered.
Expanded lecture notes. Preliminary version, comments are welcome.
In this largely expository paper, we will present a list of En -operads and give complete, and in some cases new, proofs of the equivalences between these operads.
This is a short expository article on alternating knots and is to appear in the Concise Encyclopedia of Knot Theory.
This is an expository paper (in Spanish) about the metric approximation of groups.
An expository article on Turaev surfaces written for "A Concise Encyclopedia of Knot Theory," to appear.
This expository paper discusses some conjectures related to visibility and blockers for sets of points in the plane.
This paper describes a higher-categorical version of the theory of colored operads, giving applications to the study of commutative ring spectra.
A way to add an extra dimension is briefly discussed.
The author proposes the methodology of transformation optics in orthogonal coordinates to obtain the material parameters of the transformation media from the mapping in orthogonal coordinates. Several examples are given to show the…
The authors' design for a M\"ossbauer spectroscopy unit accessed via the Internet is presented. The spectrometer's configuration, operational peculiarities, key specifications, and remote access procedures are described. More detailed…
This is an expository article/encyclopedia entry explaining the history, techniques, and central results in the field of smooth ergodic theory.
A compendium for outsiders.
This expository piece expounds on major themes and clarifies technical details of the paper "Kaufman and Falconer estimates for radial projections and a continuum version of Beck's theorem" of Orponen, Shmerkin, and Wang.