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Chern-Simons Theory, Matrix Models, and Topological Strings

Marcos Mariño

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string ... More


Elementary Knot Theory

Marc Lackenby

in Lectures on Geometry

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198784913
eISBN:
9780191827150
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198784913.003.0002
Subject:
Mathematics, Geometry / Topology

This is an elementary survey of knot theory. It is a well developed, but there remain several notoriously intractable problems about knots and links, many of which are surprisingly easy to state. The ... More


Braids

Aaron Abrams

in Office Hours with a Geometric Group Theorist

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691158662
eISBN:
9781400885398
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691158662.003.0018
Subject:
Mathematics, Geometry / Topology

This chapter deals with mathematical braids, an idealized abstraction of the familiar hair and bread braids. In a mathematical braid, the “strings” remain separate at the ends rather than being fused ... More


Lectures on Geometry

Edward Witten, Martin Bridson, Helmut Hofer, Marc Lackenby, and Rahul Pandharipande

N M J Woodhouse (ed.)

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198784913
eISBN:
9780191827150
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198784913.001.0001
Subject:
Mathematics, Geometry / Topology

This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. Although not explicitly linked, ... More


What Makes a Scientific Explanation Distinctively Mathematical?

Marc Lange

in Because Without Cause: Non-Causal Explanations in Science and Mathematics

Published in print:
2016
Published Online:
December 2016
ISBN:
9780190269487
eISBN:
9780190269500
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780190269487.003.0001
Subject:
Philosophy, Philosophy of Science, General

This chapter studies scientific explanations that are “distinctively mathematical” because they work by showing that (roughly) the phenomenon to be explained is mathematically necessary. Many ... More


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