Characteristic cycle of the external product of constructible sheaves

Characteristic cycle of the external product of constructible sheaves

We show that the characteristic cycle of the external product of constructible complexes is the external product of the characteristic cycles of the factors. This implies the compatibility of characteristic cycles with smooth pull-back which is a first step in the proof of the index formula.

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Veröffentlicht in:Manuscripta mathematica 2017-09, Vol.154 (1-2), p.1-12
1. Verfasser: Saito, Takeshi
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Sheaves
Topological Groups
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Beschreibung
Zusammenfassung:We show that the characteristic cycle of the external product of constructible complexes is the external product of the characteristic cycles of the factors. This implies the compatibility of characteristic cycles with smooth pull-back which is a first step in the proof of the index formula.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-016-0913-4