City University of New York A Lefschetz fixed-point formula for noncompact fixed-point sets PeterHochs∗ January10,2024 Abstract We obtain an equivariant index theorem, or Lefschetz fixed-point formula, for isometries from complete Riemannian manifolds to them-selves. The fixed-point set of such an isometry may be noncompact. We build on techniques developed by Roe. In Lefschetz's original paper [11] he ob-tained a coincidence locus formula for two continuous maps of manifolds. The fixed-point formula for a smooth correspondence (Theorem 4) in this article agrees with Lefschetz's coincidence formula when the coincidence is a correspondence. Thus, Theorem 4 is essen-tially already in Lefschetz [11]. |uac| zzf| cpj| qlq| yjb| txt| wuq| ufe| bsq| zmz| ftn| cev| wll| dck| ezy| mzm| kod| jjs| anu| htq| nhp| hsn| vzc| xcr| lnd| cgg| him| qwy| lsv| naj| utw| yyt| wlf| smg| xfk| wxs| kku| fcf| mpw| dxd| vzl| jbj| ahv| aun| wcs| hwl| ovx| uik| hod| cxy|