On a KK-theoretic counterpart of relative index theorems
نویسندگان
چکیده
منابع مشابه
L-index theorems, KK-theory, and connections
Let M be a compact manifold. and D a Dirac type differential operator on M . Let A be a C ∗-algebra. Given a bundle W of A-modules over M (with connection), the operator D can be twisted with this bundle. One can then use a trace on A to define numerical indices of this twisted operator. We prove an explicit formula for this index. Our result does complement the Mishchenko-Fomenko index theorem...
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Let M be a compact manifold and D a Dirac type differential operator on M . Let A be a C∗-algebra. Given a bundle W (with connection) of A-modules over M , the operator D can be twisted with this bundle. One can then use a trace on A to define numerical indices of this twisted operator. We prove an explicit formula for these indices. Our result does complement the Mishchenko–Fomenko index theor...
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ژورنال
عنوان ژورنال: Russian Journal of Mathematical Physics
سال: 2015
ISSN: 1061-9208,1555-6638
DOI: 10.1134/s1061920815030073