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}, publisher = {Universit\'e de Nantes}, year = {1998}, zbl = {01808720}, mrnumber = {99h:58180}, language = {en}, url = {https://proceedings.centre-mersenne.org/item/JEDP_1998____A11_0/} }
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/item/JEDP_1998____A11_0/ LA - en ID - JEDP_1998____A11_0 ER -
Gorm Salomonsen. Geometric heat kernel coefficient for APS-type boundary conditions. Journées équations aux dérivées partielles (1998), article no. 11, 19 p. https://proceedings.centre-mersenne.org/item/JEDP_1998____A11_0/
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