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arxiv: math/0607404 · v1 · submitted 2006-07-18 · 🧮 math.DG

Superconnection and family Bergman kernels

classification 🧮 math.DG
keywords bergmanfamilykernelssuperconnectionasymptoticestablishexpansionfamilies
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We establish an asymptotic expansion for families of Bergman kernels. The key idea is to use the superconnection as in the local family index theorem.

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