Conformal Symmetry Breaking Operators for Differential Forms

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The first half of the article is an exposition of the two most important facts about circle packings, (1) that essentially whatever pattern we ask for, we may always arrange circles in that pattern, and (2) that under simple conditions on the pattern, there is an essentially unique arrangement of circles in that pattern. Birkhäuser Boston, Inc., Boston, MA (1999) J. We also believe that chromatic number 5 is maximal for surfaces (attained only for nonorientable surfaces like the projective plane (an example found by Jenny)). [Dec. 2014/Jan. 2015 updates there are examples due to Fisk showing that the chromatic number 5 can occur for tori.

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Publisher: Springer; 1st ed. 2016 edition (February 16, 2017)

ISBN: 9811026564

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