Yongqiang Liu

activity

20232026

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3 papers · 1 filter

math.AG2026

Twisted homology jump loci, twisted Alexander polynomials, and $Σ$ -invariants

Yongqiang Liu, Alexander I. Suciu

We introduce the twisted homology jump loci of a space $X$ : the jump loci for homology with coefficients in rank-one local systems, twisted by a fixed finite-dimensional representa…

math.AG2024

$L^{2}$ -type invariants for complex smooth quasi-projective varieties -- a survey

Yongqiang Liu

Let X be a complex smooth quasi-projective variety with an epimorphism $ν : π_{1} (X) ↠ Z^{n}$ . We survey recent developments about the asymptotic behaviour…

math.AG2023

The homology growth for finite abelian covers of smooth quasi-projective varieties

Fenglin Li, Yongqiang Liu

Let $X$ be a complex smooth quasi-projective variety with a fixed epimorphism $ν : π_{1} (X) ↠ H$ , where $H$ is a finitely generated abelian group with $\mathrm{ran…

Twisted homology jump loci, twisted Alexander polynomials, and Σ-invariants

L2-type invariants for complex smooth quasi-projective varieties -- a survey

The homology growth for finite abelian covers of smooth quasi-projective varieties

Twisted homology jump loci, twisted Alexander polynomials, and $Σ$ -invariants

$L^{2}$ -type invariants for complex smooth quasi-projective varieties -- a survey