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Pardue's conjecture on relative homology under algebraic shifting
Let $L\subseteq K$ be simplicial complexes, let $\Delta(K)$ denote the algebraically shifted complex of $K$ , and let … be the dimension of the $j$ th reduced relative homology group…
Conjectureopenalgebraic-shifting relative-homology simplicial-complexesarXiv posted 3 days ago
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The integral basis conjecture for relative homology of the singularity resolution
Let $Y$ and $Z$ be the spaces in the paper, and let … The set $\widehat{\mathcal B}\cup\{\widehat{\delta}_0\}$ is the integral basis predicted for the relative homology group. Inte…
Conjectureopencoxeter-dynkin-diagrams relative-homology singularity-theoryarXiv posted 3 days ago

Pardue's conjecture on relative homology under algebraic shifting