Arithmetic BF theory and the Cassels-Tate pairing
Jeehoon Park, Junyeong Park
TL;DR
This paper explores the arithmetic BF theory and demonstrates that the Cassels-Tate pairing can be understood as an arithmetic BF functional, providing a new perspective on these mathematical structures.
Contribution
It offers a systematic treatment of arithmetic BF theory and interprets the Cassels-Tate pairing as an arithmetic BF functional, linking these concepts.
Findings
Cassels-Tate pairing is interpreted as an arithmetic BF functional
Provides a systematic framework for arithmetic BF theory
Connects arithmetic BF theory with classical pairings in number theory
Abstract
We give a systematic treatment of the arithmetic BF theory, introduced by Carlson and Kim. We observe that the Cassels-Tate pairing can be naturally interpreted as an arithmetic BF functional.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Algebra and Geometry