caa a22 4500 445836741 CHVBK 20180317145332.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00209-010-0769-3 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0769-3 Regularity of the eta function on manifolds with cusps [Elektronische Daten] [Paul Loya, Sergiu Moroianu, Jinsung Park] On a spin manifold with conformal cusps, we prove under an invertibility condition at infinity that the eta function of the twisted Dirac operator has at most simple poles and is regular at the origin. For hyperbolic manifolds of finite volume, the eta function of the Dirac operator twisted by any homogeneous vector bundle is shown to be entire. Springer-Verlag, 2010 Loya Paul Department of Mathematics, Binghamton University, 13902, Binghamton, NY, USA aut Moroianu Sergiu Institutul de Matematică al Academiei Române, P.O. Box 1-764, 014700, Bucharest, Romania aut Park Jinsung School of Mathematics, Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, 130-722, Seoul, Korea aut Mathematische Zeitschrift Springer-Verlag 269/3-4(2011-12-01), 955-975 0025-5874 269:3-4<955 2011 269 209 https://doi.org/10.1007/s00209-010-0769-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0769-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Loya Paul Department of Mathematics, Binghamton University, 13902, Binghamton, NY, USA aut NATIONALLICENCE 700 1- Moroianu Sergiu Institutul de Matematică al Academiei Române, P.O. Box 1-764, 014700, Bucharest, Romania aut NATIONALLICENCE 700 1- Park Jinsung School of Mathematics, Korea Institute for Advanced Study, Hoegiro 87, Dongdaemun-gu, 130-722, Seoul, Korea aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/3-4(2011-12-01), 955-975 0025-5874 269:3-4<955 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer