Differential Geometry: Difference between revisions

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see also [[Mathematics]]
===books===
===books===
*''Geometry, Topology and Physics'' by M. Nakahara (2nd ed., IOP Publishing, 2003)Preparation for Gauge Theory by George Svetlichny math-ph/9902027
'''Geometry, Topology and Physics'''<br>
*''[http://www.math.cornell.edu/~hatcher/AT/ATpage.html Algebraic Topology']' by Allen Hatcher (CUP, 2002) is downloadable from the [http://www.math.cornell.edu/~hatcher/AT/ATpage.html webpage for the book]
by M. Nakahara (2nd ed., IOP Publishing, 2003)
 
[http://www.math.cornell.edu/~hatcher/AT/ATpage.html Algebraic Topology]<br>
by Allen Hatcher (CUP, 2002)<br>
downloadable from the [http://www.math.cornell.edu/~hatcher/AT/ATpage.html webpage for the book]


===reviews===
===reviews===
*''[http://arxiv.org/abs/hep-th/0611201 Topology of Fibre bundles and Global Aspects of Gauge Theories]'' by Andres Collinucci, Alexander Wijns (hep-th/0611201, [http://arxiv.org/abs/hep-th/0611201 abs], [http://arxiv.org/ps/hep-th/0611201 ps], [http://arxiv.org/pdf/hep-th/0611201 pdf], 42 pages, 4 figures,)
[http://arxiv.org/abs/hep-th/0702063 Lectures on complex geometry, Calabi-Yau manifolds and toric geometry]<br>
*''[http://arxiv.org/abs/math-ph/9902027 Preparation for Gauge Theory]'' by George Svetlichny (math-ph/9902027, [http://arxiv.org/abs/math-ph/9902027 abs], [http://arxiv.org/ps/math-ph/9902027 ps], [http://arxiv.org/pdf/math-ph/9902027 pdf], 97 pages)
by Vincent Bouchard (hep-th/0702063, 63 pages, 15 figures)
 
[http://arxiv.org/abs/hep-th/0611201 Topology of Fibre bundles and Global Aspects of Gauge Theories]<br>
by Andres Collinucci, Alexander Wijns (hep-th/0611201, 42 pages, 4 figures)


[http://arxiv.org/abs/math.DG/0108088 Lectures on Calabi-Yau and special Lagrangian geometry]<br>
by Dominic Joyce (math.DG/0108088, 56 pages)


Allen Hatcher's website has his books on Algebraic Topology, Vector Bundles and K-Theory, Spectral Sequences in Algebraic Topology and 3-Manifolds.
[http://arxiv.org/abs/math-ph/9902027 Preparation for Gauge Theory]<br>
by George Svetlichny (math-ph/9902027, 97 pages)


Nigel Hitchin's Geometry of Surfaces course notes
[http://www.damtp.cam.ac.uk/user/gr/about/members/gwglectures.html Part III (CASM) Applications of Differential Geometry to Physics Course in DAMTP 2006]<br>
by Gary Gibbons (88 pages)

Latest revision as of 11:22, 23 April 2007

see also Mathematics

books

Geometry, Topology and Physics
by M. Nakahara (2nd ed., IOP Publishing, 2003)

Algebraic Topology
by Allen Hatcher (CUP, 2002)
downloadable from the webpage for the book

reviews

Lectures on complex geometry, Calabi-Yau manifolds and toric geometry
by Vincent Bouchard (hep-th/0702063, 63 pages, 15 figures)

Topology of Fibre bundles and Global Aspects of Gauge Theories
by Andres Collinucci, Alexander Wijns (hep-th/0611201, 42 pages, 4 figures)

Lectures on Calabi-Yau and special Lagrangian geometry
by Dominic Joyce (math.DG/0108088, 56 pages)

Preparation for Gauge Theory
by George Svetlichny (math-ph/9902027, 97 pages)

Part III (CASM) Applications of Differential Geometry to Physics Course in DAMTP 2006
by Gary Gibbons (88 pages)

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