The Index Theorem and Some Consequences

  • Fritz Gesztesy
  • Marcus Waurick
Part of the Lecture Notes in Mathematics book series (LNM, volume 2157)


Combining Chaps.  3 and 7 one obtains a first formulation of Callias’ index formula for L for the special class of admissible potentials Φ. This class is indeed rather special as we show at the end of Chap.  10 that in this case the index of L vanishes.


Index Theorem Index Formula Admissible Potentials Yang Mills Higgs fields Invertibility Issue 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Fritz Gesztesy
    • 1
  • Marcus Waurick
    • 2
  1. 1.Dept of MathematicsUniversity of MissouriColumbiaUSA
  2. 2.Institut für AnalysisTU DresdenDresdenGermany

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