In this note we prove some results in flat and differential -theory. The first one is a proof of the compatibility of the differential topological index and the flat topological index by a direct computation. The second one is the explicit isomorphisms between Bunke-Schick differential -theory and Freed-Lott differential -theory.
Dans cette note, nous prouvous certains résultats en -théories plate et différentielle. La premier est une preuve de la compatibilité de l’indice topologique différentiel et de l’indice topologique plat par un calcul direct. Le second est un isomorphisme explicite entre les -théories différentielles de Bunke-Schick et de Freed-Lott.
Keywords: differential $K$-theory, topological index
Mot clés : différentielle $K$-théorie, indice topologique
Man-Ho Ho 1
@article{AMBP_2014__21_1_91_0, author = {Man-Ho Ho}, title = {Remarks on flat and differential $K$-theory}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {91--101}, publisher = {Annales math\'ematiques Blaise Pascal}, volume = {21}, number = {1}, year = {2014}, doi = {10.5802/ambp.337}, mrnumber = {3248223}, zbl = {06329058}, language = {en}, url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.337/} }
TY - JOUR AU - Man-Ho Ho TI - Remarks on flat and differential $K$-theory JO - Annales mathématiques Blaise Pascal PY - 2014 SP - 91 EP - 101 VL - 21 IS - 1 PB - Annales mathématiques Blaise Pascal UR - https://ambp.centre-mersenne.org/articles/10.5802/ambp.337/ DO - 10.5802/ambp.337 LA - en ID - AMBP_2014__21_1_91_0 ER -
Man-Ho Ho. Remarks on flat and differential $K$-theory. Annales mathématiques Blaise Pascal, Volume 21 (2014) no. 1, pp. 91-101. doi : 10.5802/ambp.337. https://ambp.centre-mersenne.org/articles/10.5802/ambp.337/
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