Inverses of structured vector bundles
Indranil Biswas, Vamsi Pingali
TL;DR
This paper proves that certain structured vector bundles with specific holonomy groups have structured inverses, extending previous theorems in the field.
Contribution
It generalizes a theorem of Simons and Sullivan by establishing the existence of structured inverses for vector bundles with specified holonomy groups.
Findings
Structured inverses exist for vector bundles with holonomies in GL(N,C), SO(N,C), or Sp(2N,C)
Generalization of previous theorems on structured vector bundles
Extension of the theory of holonomy and bundle inverses
Abstract
We prove that structured vector bundles whose holonomies lie in GL(N,C), SO(N,C), or Sp(2N,C) have structured inverses. This generalizes a theorem of Simons and Sullivan.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Advanced Algebra and Geometry