I present an alternative way of computing the index of a Dirac operator on a manifold with boundary and a special family of pseudodifferential boundary conditions. The local version of this index theorem contains a number of divergence terms in the interior, which are higher order heat kernel invariants. I will present a way of associating boundary terms to those divergence terms, which are rather local of nature.
@incollection{JEDP_1998____A11_0,
     author = {Gorm Salomonsen},
     title = {Geometric heat kernel coefficient for {APS-type} boundary conditions},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {11},
     pages = {1--19},
     year = {1998},
     publisher = {Universit\'e de Nantes},
     doi = {10.5802/jedp.540},
     mrnumber = {99h:58180},
     zbl = {01808720},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.540/}
}
                      
                      
                    TY - JOUR AU - Gorm Salomonsen TI - Geometric heat kernel coefficient for APS-type boundary conditions JO - Journées équations aux dérivées partielles PY - 1998 SP - 1 EP - 19 PB - Université de Nantes UR - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.540/ DO - 10.5802/jedp.540 LA - en ID - JEDP_1998____A11_0 ER -
%0 Journal Article %A Gorm Salomonsen %T Geometric heat kernel coefficient for APS-type boundary conditions %J Journées équations aux dérivées partielles %D 1998 %P 1-19 %I Université de Nantes %U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.540/ %R 10.5802/jedp.540 %G en %F JEDP_1998____A11_0
Gorm Salomonsen. Geometric heat kernel coefficient for APS-type boundary conditions. Journées équations aux dérivées partielles (1998), article no. 11, 19 p.. doi: 10.5802/jedp.540
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