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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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