ℒ-classes on pseudomanifolds with one singular stratum

Chan, Shing-Wai

doi:10.1090/S0002-9939-97-03386-8

$\mathcal {L}$-classes on pseudomanifolds with one singular stratum
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Proc. Amer. Math. Soc. 125 (1997), 1955-1968 Request permission

Abstract:

We study the index theorem and Chern character of an admissible pseudomanifold $X^{\dagger }$ with one singular stratum. Under a condition on the link, we give a de Rham type realization of the Goresky-MacPherson-Siegel $\mathcal {L}$-classes on $X^{\dagger }$ in terms of curvature forms and eta invariant of the link.

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