Geodesic
Geometric heat kernel coefficient for APS-type boundary conditions
Journées équations aux dérivées partielles (1998), article no. 11, 19 p.

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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 = {Salomonsen, Gorm},
     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},
     publisher = {Universit\'e de Nantes},
     year = {1998},
     doi = {10.5802/jedp.540},
     mrnumber = {99h:58180},
     zbl = {01808720},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.540/}
}
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Salomonsen, Gorm. 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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