View:

- no detail
- some detail
- full detail

## 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

## STRING THEORY AND GAUGE THEORY

*Marcos Mariño*

### in Chern-Simons Theory, Matrix Models, and Topological Strings

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198568490
- eISBN:
- 9780191717604
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568490.003.0006
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the relationship between gauge theories and topological strings. A precise correspondence between string theory and gauge theory was formulated by 't Hooft (1974), who used as a ... More

## CALABI–YAU GEOMETRIES

*Marcos Mariño*

### in Chern-Simons Theory, Matrix Models, and Topological Strings

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198568490
- eISBN:
- 9780191717604
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568490.003.0005
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses a particular class of Calabi-Yau geometries characterized by being non-compact, focusing on non-compact toric Calabi-Yau threefolds. These are threefolds that have the ... More

## Mirror Symmetry of Fourier—Mukai Transformation for Elliptic Calabi—Yau Manifolds

*Naichung Conan Leung and Shing‐Tung Yau*

### in The Many Facets of Geometry: A Tribute to Nigel Hitchin

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199534920
- eISBN:
- 9780191716010
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199534920.003.0015
- Subject:
- Mathematics, Geometry / Topology

Mirror symmetry conjecture says that for any Calabi–Yau (CY) manifold M near the large complex/symplectic structure limit, there is another CY manifold X, called the mirror manifold, such that the ... More

## TOPOLOGICAL SIGMA MODELS

*Marcos Mariño*

### in Chern-Simons Theory, Matrix Models, and Topological Strings

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198568490
- eISBN:
- 9780191717604
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568490.003.0003
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

String theory can be regarded, at the algebraic level, as a two-dimensional conformal field theory coupled to two-dimensional gravity. When the conformal field theory is also a topological field ... More

## STRING FIELD THEORY AND GAUGE THEORIES

*Marcos Mariño*

### in Chern-Simons Theory, Matrix Models, and Topological Strings

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198568490
- eISBN:
- 9780191717604
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568490.003.0007
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter shows that both Chern-Simons gauge theories and matrix models with polynomial potentials can be realized as open string theories. To show that Chern-Simons theory and matrix models with ... More

## THE TOPOLOGICAL VERTEX

*Marcos Mariño*

### in Chern-Simons Theory, Matrix Models, and Topological Strings

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198568490
- eISBN:
- 9780191717604
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568490.003.0009
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter explains the cut-and-paste approach to toric Calabi-Yau manifolds developed previously with the large-N duality relating Chern-Simons theory and topological strings, to find a building ... 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

##
On the Chow ring of *K3* surfaces and hyper-Kahler manifolds

*Claire Voisin*

### in Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187)

- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691160504
- eISBN:
- 9781400850532
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691160504.003.0005
- Subject:
- Mathematics, Geometry / Topology

This chapter considers varieties whose Chow ring has special properties. This includes abelian varieties, K3 surfaces, and Calabi–Yau hypersurfaces in projective space. For K3 surfaces S, it was ... More

##
Maps, Sheaves and *K*3 Surfaces

*Rahul Pandharipande*

### 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/9780198784913.003.0005
- Subject:
- Mathematics, Geometry / Topology

The conjectural equivalence of curve counting on Calami- Yau 3-folds via stable maps and stable pairs is discussed. By considering Cali-Yau 3-folds with K3 fibrations, the correspondence naturally ... More

View:

- no detail
- some detail
- full detail