caa a22 4500 445884118 CHVBK 20180317145554.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10711-010-9542-3 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9542-3 Natural equivariant transversally elliptic Dirac operators [Elektronische Daten] [Igor Prokhorenkov, Ken Richardson] We introduce a new class of natural, explicitly defined, transversally elliptic differential operators over manifolds with compact group actions. Under certain assumptions, the symbols of these operators generate all the possible values of the equivariant index. We also show that the components of the representation-valued equivariant index coincide with those of an elliptic operator constructed from the original data. Springer Science+Business Media B.V., 2010 Equivariant index nationallicence Group action nationallicence Dirac operator nationallicence Transversally elliptic nationallicence Prokhorenkov Igor Department of Mathematics, Texas Christian University, Box 298900, 76129, Fort Worth, TX, USA aut Richardson Ken Department of Mathematics, Texas Christian University, Box 298900, 76129, Fort Worth, TX, USA aut Geometriae Dedicata Springer Netherlands 151/1(2011-04-01), 411-429 0046-5755 151:1<411 2011 151 10711 https://doi.org/10.1007/s10711-010-9542-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9542-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Prokhorenkov Igor Department of Mathematics, Texas Christian University, Box 298900, 76129, Fort Worth, TX, USA aut NATIONALLICENCE 700 1- Richardson Ken Department of Mathematics, Texas Christian University, Box 298900, 76129, Fort Worth, TX, USA aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 151/1(2011-04-01), 411-429 0046-5755 151:1<411 2011 151 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer