Online Talk

Zoom link: https://princeton.zoom.us/j/92116764865

Passcode: 114700

Motivated by results of Arnold and Vassiliev in special cases, we study the space of monic real polynomials of fixed degree with very general restrictions on the multiplicities of their real roots. Given a closed subspace of that type we define a CW structure on its one-point compactification which allows us to set up a combinatorial chain complex computing its homology. Using this complex we prove stabilization results and provide combinatorial formulas for the (co)homology of the spaces in their complements in special cases. 

This is joint work with Boris Shapiro and Gabriel Katz.