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This is a technical introduction to the paper "Extension of twisted Hodge metrics for Kahler morphisms" by the authors.

Algebraic Geometry · Mathematics 2008-09-19 Christophe Mourougane , Shigeharu Takayama

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…

Algebraic Topology · Mathematics 2017-05-17 Matthew Ando , Andrew J. Blumberg , David Gepner , Michael J. Hopkins , Charles Rezk

This is a survey of the spectral theory of tensors.

Spectral Theory · Mathematics 2012-01-18 Liqun Qi

This is an expository article for the Encyclopedia of Mathematical Physics on the subject in the title.

Mathematical Physics · Physics 2007-05-23 Steve Zelditch

This is an expository article on diagrammatic representations of knots and links in various settings via braids.

Geometric Topology · Mathematics 2018-11-29 Sofia Lambropoulou

The paper is mostly a survey on recent results in Diophantine approximation, with emphasis on properties of exponents measuring various notions of Diophantine <approximation.

Number Theory · Mathematics 2007-05-23 Yann Bugeaud , Michel Laurent

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.

Mathematical Physics · Physics 2009-11-13 Eugen Paal , Jyri Virkepu

Expanded lecture notes. Preliminary version, comments are welcome.

Combinatorics · Mathematics 2018-05-31 Bogdan Nica

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.

Algebraic Topology · Mathematics 2023-10-13 André Beuckelmann , Ieke Moerdijk

This is a short expository article on alternating knots and is to appear in the Concise Encyclopedia of Knot Theory.

Geometric Topology · Mathematics 2019-01-04 William W. Menasco

This is an expository paper (in Spanish) about the metric approximation of groups.

Group Theory · Mathematics 2017-09-07 Luis Manuel Rivera , Nidya Monserrath Veyna García

An expository article on Turaev surfaces written for "A Concise Encyclopedia of Knot Theory," to appear.

Geometric Topology · Mathematics 2021-05-21 Seungwon Kim , Ilya Kofman

This expository paper discusses some conjectures related to visibility and blockers for sets of points in the plane.

Combinatorics · Mathematics 2010-08-20 Attila Pór , David R. Wood

This paper describes a higher-categorical version of the theory of colored operads, giving applications to the study of commutative ring spectra.

Category Theory · Mathematics 2009-05-04 Jacob Lurie

A way to add an extra dimension is briefly discussed.

Classical Analysis and ODEs · Mathematics 2007-10-15 Stephen Semmes

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…

Optics · Physics 2009-11-13 Huanyang Chen

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…

Physics Education · Physics 2018-12-06 A. A. Silaev , S. K. Godovikov , E. B. Postnikov , V. V. Radchenko , A. A. Silaev

This is an expository article/encyclopedia entry explaining the history, techniques, and central results in the field of smooth ergodic theory.

Dynamical Systems · Mathematics 2008-04-02 Amie Wilkinson

A compendium for outsiders.

High Energy Physics - Phenomenology · Physics 2022-05-04 Chris Quigg

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.

Classical Analysis and ODEs · Mathematics 2024-02-20 Paige Bright , Ryan Bushling , Caleb Marshall , Alex Ortiz
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