4 problems

Divisibility conjecture for shifted Poincaré polynomials on $\mathbb P^2$
Let $d$ be a positive integer and let $\hat\Omega_d^{\mathbb P^2}$ be the shifted Poincaré polynomial associated with the moduli space of degree- $d$ one-dimensional sheaves on…
openmoduli-spaces poincare-polynomials projective-plane
0 responses
09
Leading Betti-number expansion conjecture for moduli spaces on $\mathbb P^2$
Leading Betti-number expansion conjecture. One has
openbetti-numbers moduli-spaces projective-plane
0 responses
03
Conjecture on higher normalized eigenvalues of the projective plane
Let $\Lambda_k(\mathbb{RP}^2)$ denote the supremum of the normalized $k$ -th Laplace eigenvalue over metrics on the real projective plane. A sequence of metrics is said to degenerat…
openlaplace-eigenvalues projective-plane spectral-geometry
0 responses
05
Takahashi's log mirror symmetry conjecture for the projective plane
Takahashi's conjecture. For all $d\geq 1$ ,
openbps-invariants log-mirror-symmetry projective-plane
0 responses
04

Divisibility conjecture for shifted Poincaré polynomials on P2\mathbb P^2P2