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2 results for “Atiyah-Bott-Singer”

The index of self-adjoint Shapiro-Lopatinskii boundary problems of order onemath.DG

Paper proves index theorem for self-adjoint elliptic boundary problems.

problem Proving index theorem for self-adjoint elliptic boundary problems.

method Topological and pseudo-differential methods, generalized Atiyah-Singer approach.

result Removed technical assumption to prove index theorem.

index theorem self-adjoint elliptic boundary problems Atiyah-Bott-Singer Shapiro-Lopatinskii condition

2022-07-19abs ↗pdf ↗

Eigenvalues of vector fields, Bott's residue formula and integral invariantsmath.DG

Given a compatible vector field on a compact connected almost-complex manifold, we show in this article that the multiplicities of eigenvalues among the zero point set of this vector field have intimate relations. We highlight a special case of our result and reinterpret it as a vanishing-type result in the framework o…

2014-09-09abs ↗pdf ↗