Applications to A1-enumerative geometry of the A1-degree

Abstract

These are lecture notes from the conference Arithmetic Topology at the Pacific Institute of Mathematical Sciences on applications of Morel's A1-degree to questions in enumerative geometry. Additionally, we give a new dynamic interpretation of the A1-Milnor number inspired by the first named author's enrichment of dynamic intersection numbers.

26 pages

References in corpus (2)

• Higher Topos Theory
• Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions

Cited by in corpus (4)

• Bézoutians and the ${\mathbb{A}}^1$-degree
• Ulrich sheaves, the arithmetic writhe and algebraic isotopies of space curves
• Conics meeting eight lines over perfect fields
• ${\mathbb{A}}^1$-Brouwer degrees in Macaulay2