P-adic splittings of the quantum connection

Paul Seidel

doi:10.48550/arxiv.2503.00500

March 1, 2025Open Access

P-adic splittings of the quantum connection

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Key Points

New operations with p-adic coefficients enhance understanding of quantum connection.
These operations connect idempotents in quantum cohomology to symplectic manifold structure.
The analysis uses mathematical frameworks relevant to quantum and symplectic geometry.
Findings may influence future research on quantum cohomology and manifold applications.

Implication

This approach reveals new properties of quantum connection in monotone symplectic manifolds, suggesting pathways for future applications.

Abstract

We introduce operations with p-adic integer coefficients, associated to idempotents in the quantum cohomology of a monotone symplectic manifold, and apply them to the structure of the quantum connection.

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Cite This Study

Paul Seidel (2025) studied this question.

synapsesocial.com/papers/68ecc715d1cc7436f7d18a70 https://doi.org/10.48550/arxiv.2503.00500

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P-adic splittings of the quantum connection

Key Points

Implication

Abstract

Discussion

Cite This Study

P-adic splittings of the quantum connection

Key Points

Implication

Abstract

Discussion

Cite This Study

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