TY  - JOUR
AB  - We introduce a geometric analog of the Hilbert symbol and show a Hilbert type reciprocity law for a 3-dimensional foliated dynamical system (FDS3 for short). This answers the question posed by Deninger. For this, we employ the theory of smooth Deligne cohomology and the integration theory of Deligne cohomology classes. We also present a structure theorem for an FDS3, which yields a classification of FDS3’s, and we construct concrete examples of FDS3’s for each type of the classification.
AU  - Kim, Junhyeong
AU  - Morishita, Masanori
AU  - Noda, Takeo
AU  - Terashima, Yuji
DA  - 2021
DO  - 10.17879/06089649100
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 323
PY  - 2021
SP  - 323-348
T2  - Münster Journal of Mathematics
TI  - On 3-dimensional foliated dynamical systems and Hilbert type reciprocity law
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-06089649575
Y2  - 2024-12-27T09:08:58
ER  -