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On intersection of two embedded spheres in 3-space
intersection two embedded spheres 3-space
2011/1/18
We find necessary and sufficient conditions on sequences x = x1, x2, . . . , xn, y = y1, y2, ..., yn of positive integers, for existence of embeddings f, g : S2 → R3 such that S2 − g−1(S2)...
Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
division algebra Clifford algebra Grassmann algebra Hopf map non-Abelian
2010/12/15
This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and
their mutual relations. The Hopf maps of division algebras provide a prototype relation
between monopoles and fuzzy spher...