c<sub>2</sub> Invariants of Hourglass Chains via Quadratic Denominator Reduction
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Bibliographic record
Abstract
We introduce families of four-regular graphs consisting of chains of hourglasses which are attached to a finite kernel. We prove a formula for the c 2 invariant of these hourglass chains which only depends on the kernel. For different kernels these hourglass chains typically give rise to different c 2 invariants. An exhaustive search for the c 2 invariants of hourglass chains with kernels that have a maximum of ten vertices provides Calabi-Yau manifolds with point-counts which match the Fourier coefficients of modular forms whose weights and levels are Assuming the completion conjecture, we show that no modular form of weight 2 and level 1000 corresponds to the c 2 of such hourglass chains. This provides further evidence in favour of the conjecture that curves are absent in c 2 invariants of 4 quantum field theory.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.004 | 0.003 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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