MathDB6 problems
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Ananin–Grossi–Gusevskii holomorphic section conjecture for complex hyperbolic disc bundles
Holomorphic section conjecture. There exists a holomorphic section of in all these examples.
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The Euler–Toledo identity for all complex hyperbolic disc bundles
Universal Euler–Toledo conjecture. All complex hyperbolic disc bundles satisfy this equation.
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Kalashnikov's conjecture on quadrangle fundamental domains
Kalashnikov's conjecture. Every such fundamental domain satisfies
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The holomorphic-section conjecture for complex hyperbolic disc bundles
Holomorphic-section conjecture. The disc bundle admits a holomorphic section if and only if
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The complex Gromov–Lawson–Thurston conjecture for complex hyperbolic disc bundles
Complex Gromov–Lawson–Thurston conjecture. The disc bundle has a complex hyperbolic structure if and only if
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The absolute-value Euler–Toledo identity for complex hyperbolic disc bundles
Absolute-value Euler–Toledo conjecture. Based on previous examples, one conjectures that