The sharp fixed-point bound conjecture for nonbounding unitary toric manifolds

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Let M2nM^{2n} be a nonbounding unitary toric manifold, meaning that it does not bound equivariantly, and let ⌈n/2⌉\lceil n/2\rceil denote the least integer greater than or equal to n/2n/2. Sharp fixed-point bound conjecture. The number ⌈n/2⌉+1\lceil n/2\rceil+1 is the best possible lower bound for the number of fixed points of nonbounding unitary toric manifolds of dimension 2n2n. The source proves that this quantity is a lower bound, but does not establish its sharpness.

References

Primary source

Zhi Lü, “Equivariant bordism of 2-torus manifolds and unitary toric manifolds–a survey”, arXiv:1401.3052 (2019).

Additional references

2 papers in this index state this conjecture (2011–2014). The statement above is taken from the most recent of them; the others are arXiv:1103.6173.

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