5 problems

Let $V_1$ and $V_2$ be PD algebras satisfying the assumptions of Proposition, except that their second cohomology is allowed to be nonzero, and suppose … Here a PDGA quasi-isomorph…

Let $V$ be a PDGA whose cohomology is connected and simply-connected, and let $\Model_1$ and $\Model_2$ be connected and simply-connected PD models of $V$. A PD model is a Poincaré…

Let $V$ be a differential Poincaré duality algebra with \H^0(V)=\operatorname{Span}\{1\} and \H^1(V)=0, and suppose that $V$ is formal as a differential graded algebra. A Poinc…

Let $V$ be a differential Poincaré duality algebra with $\\H^0(V)=\operatorname{Span}\{1\}$ and \H^1(V)=0, and let $\Model_1$ and $\Model_2$ be Poincaré duality models satisfying…

Let $\omega$ be a non-zero simplicial cycle and let a generic vector coloring of its vertices define a graded Poincare duality algebra via the volume polynomial and the associated…