Recipes for exotic definite 4-manifolds

Abstract: It is an ongoing search to find an exotic manifold which is homeomorphic to a sum of complex projective planes (or a sum with only oppositely oriented projective planes). Relaxing this condition, a smooth definite manifold is one with an intersection form at least isomorphic to that of such a space. The door into the study of definite exotica was first opened by the discovery of examples with a fundamental group of order two by Levine, Lidman and Piccirillo and further advancements have since been made to construct examples with larger fundamental groups. We will discuss the general recipe for constructing these manifolds, as well as the specific ingredients that different researchers have been using. This is based on joint work with Patrick Naylor and B. Doug Park.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

[[Please provide your first and last name so that the speaker can identify you. Kindly submit your questions or comments using the chat box, not via audio.]]

The livestream is on Zoom at uqam.zoom.us/j/88383789249 It is recommended to subscribe to the CIRGET newsletter. Please send an email to haedrich.alexandra@uqam.ca , providing your name and affiliation.

Some talks can be seen at www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA