"Seiberg-Witten theory"의 두 판 사이의 차이
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2013년 4월 29일 (월) 12:53 판
introduction
- Vortices and Monopoles and Instantons
- After describing the gauge theory of Electromagnetism, we shall define the 4-dimensional Seiberg-Witten invariant (sweeping much technical structure under the rug) and discuss its topological properties.
- Then we'll backtrack and try to see how this physics beast was born.
4-manifolds
- 1980's work of M. Freedman gave a new insight in the topological classification of simply connected compact 4-manifolds via their intersection forms
- S.K. Donaldson succeeded in establishing criteria how the intersection form can prevent a topological 4-manifold from being smoothable
application to 4-manifolds
- invariants of compact smooth 4-manifolds introduced by Witten (1994)
history
encyclopedia
- http://en.wikipedia.org/wiki/Seiberg%E2%80%93Witten_gauge_theory
- http://en.wikipedia.org/wiki/Seiberg%E2%80%93Witten_invariant
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://eom.springer.de
- http://www.proofwiki.org/wiki/
books
expositions
- Bohn, Michael. 2007. “An introduction to Seiberg-Witten theory on closed 3-manifolds”. 0706.3604 (6월 25). http://arxiv.org/abs/0706.3604
articles
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
- http://mathoverflow.net/search?q=
- http://math.stackexchange.com/search?q=
- http://physics.stackexchange.com/search?q=
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field