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<p>We consider elliptic operator complexes associated with fibrations. We give the Atiyah–Bott–Lefschetz formula for endomorphisms of such complexes. The proof is based on the stationary phase method. We use wavefronts of distributions to estimate the remainder term.</p>

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LEFSCHETZ FORMULA FOR NONLOCAL ELLIPTIC PROBLEMS ASSOCIATED WITH FIBRATIONS

  • 期刊论文

  • 发表日期：

    2026年4月10日

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  • N. R. Orlova

摘要

We consider elliptic operator complexes associated with fibrations. We give the Atiyah–Bott–Lefschetz formula for endomorphisms of such complexes. The proof is based on the stationary phase method. We use wavefronts of distributions to estimate the remainder term.