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math.DG2008★ 1 cited
Complex Valued Analytic Torsion for Flat Bundles and for Holomorphic Bundles with (1,1) Connections
Sylvain E. Cappell, Edward Y. Miller
The work of Ray and Singer which introduced analytic torsion, a kind of determinant of the Laplacian operator in topological and holomorphic settings, is naturally generalized in b…
math.DG2005★ 3 cited
Cohomology of Harmonic Forms on Riemannian Manifolds With Boundary
Sylvain Cappell, Dennis DeTurck, Herman Gluck +1
Theorem. Let M be a compact, connected, oriented smooth Riemannian n-manifold with non-empty boundary. Then the cohomology of the complex (Harm*(M),d) of harmonic forms on M is giv…
math.DG2000
A Perturbative SU(3) Casson Invariant
S. E. Cappell, R. Lee, E. Y. Miller
A perturbative SU(3) Casson invariant for integral homology 3-spheres is defined. Besides being fully perturbative, it has nice properties: (1) is…