A topological construction of the weight filtration (Q993398)

Let \(j:X \setminus Y \to X\) be the embedding of the complement of a Cartier divisor \(Y\) in a complex algebraic variety \(X\), and \(K\) be a perverse sheaf on \(X \setminus Y\). Using Verdier's specialization functor, the authors define a filtration \(W\) of topological origin on the perverse sheaf \(Rj_{*}K\). This yields in particular a new proof of the independance of the monodromy filtration on the choice of a local defining equation of an effective divisor \(D\) on \(X\).