Derives an index formula for elliptic operators, indicating new insights into their behavior on specific manifolds.
In this paper, we obtain an index formula for elliptic operators on manifolds with cylindrical ends in the case where the cylinder’s base is a torus of arbitrary dimension. The proof of this result relies on a new local algebraic index theorem for families of elliptic symbols and on the surgery of elliptic operators.
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Abbas et al. (2026) studied this question.
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