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Invariants for Pairs of Almost Complex Structures

By Adam Coffman


For a smooth real linear bundle map between vector bundles equipped\ud with complex structure operators, the set of points in the base space\ud where the map respects the complex structures on some subspace is\ud considered as a degeneracy locus. A general cohomological formula\ud describing the generic behavior of the locus is given, with several\ud examples, including previously known special cases. The relationships\ud of this phenomenon with complex tangency of real subbundles, and with\ud quaternionic structures, are considered

Year: 2007
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