6 problems

Let $r$ and $d$ be the parameters defining the quantum lens spaces and let (I)--(VII) denote the seven conditions introduced in the paper for their equivariant isomorphism. Equival…

Let $r$ and $d$ be the parameters defining the quantum lens spaces and let (I)--(IV) denote the four basic conditions introduced in the paper for equivariant isomorphism. Equivalen…

For $r=5$, consider quantum lens spaces $C(L_q^{2k+1}(5;\underline{m}))$ and $C(L_q^{2k+1}(5;\underline{n}))$ with their equivariant structures, and encode a nontrivial isomorphism…

Let $S_{r,n}$ be the parameter set for the quantum lens spaces under consideration, and let $\sim$ be the equivalence relation on it. Uniform-fiber conjecture. All equivalence clas…

Let $r=2^t p_1^{\alpha_1}\cdots p_k^{\alpha_k}$, where $t\in\{0,1\}$ and the $p_i$ are distinct odd primes. Let $\overline m,\overline m'\in(\mathbb Z_r)^n$ be parameter vectors, a…

Let $r>2$ have prime factorization $r=2^t p_1^{\alpha_1}\cdots p_k^{\alpha_k}$, where $t\in\{0,1\}$ and the $p_i$ are distinct odd primes. Let $\varphi_r(n)$ denote the number of e…