Abstract
Structured vector bundles were introduced by Simons and Sullivan (Quanta of Maths, Clay Math. Proc., vol 11. American Mathematical Society, Providence, pp 579–599, 2010). We prove that all structured vector bundles whose holonomies lie in \(\mathrm{GL}(N,{\mathbb {C}})\), \(\mathrm{SO}(N,{\mathbb {C}})\), or \(\mathrm{Sp}(2N, {\mathbb {C}})\) have structured inverses. This generalizes a theorem of Simons and Sullivan proved in 2010.
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Acknowledgments
We are grateful to the referee for detailed comments to improve the exposition. The first-named author acknowledges the support of a J. C. Bose Fellowship.
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Biswas, I., Pingali, V.P. Inverses of structured vector bundles. Geom Dedicata 179, 279–285 (2015). https://doi.org/10.1007/s10711-015-0081-9
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DOI: https://doi.org/10.1007/s10711-015-0081-9