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Indranil Biswas, Arjun Paul, and Arideep Saha
Equivariant bundles and adapted connections view print
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| Published: |
July 19, 2017 |
| Keywords: |
Equivariant bundle, G-connection, adapted connection, holomorphic foliation |
| Subject: |
32M10, 53B15, 37F75 |
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Abstract
Given a complex manifold M equipped with a holomorphic action of a connected complex
Lie group G, and a holomorphic principal H-bundle EH over X equipped with a
G-connection h, we investigate the connections on the principal H-bundle EH
that are (strongly) adapted to h. Examples are provided by holomorphic principal
H-bundles equipped with a flat partial connection over a foliated manifold.
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| Author information
Indranil Biswas:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
indranil@math.tifr.res.in
Arjun Paul:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
apmath90@math.tifr.res.in
Arideep Saha:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
arideep@math.tifr.res.in
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