Reading group

Spring 2024:

Weinstein manifolds

[ Daniela ] Contact surgery and symplectic handlebodies - Weinstein 

What is a Weinstein manifold? What is a handlebody? 

Legendrian Kirby Calculus 

[ Ian ]  Handlebody construction of Stein surfaces - Gompf section 1-2, also section 2 of https://arxiv.org/pdf/2002.07983.pdf

How do you draw a Weinstein 4-manifold? How do you manipulate Kirby diagrams of Weinstein 4-manifolds? What is a handle-slide? What is a handle cancellation?

Lagrangian skeleta

[ Alex] Arboreal Singularities in Weinstein Skeleta - Starkston sections 2-3.

What is a Lagrangian skeleta? What is an arboreal singularity?

Lagrangian Floer theory

 [ Zack (?) ] Aroux - A beginner's introduction to Fukaya categories 

What is Lagrangian Floer theory? what is the fukaya category? wrapped fukaya category?

Lagrangian surgery 

[ Kaveh ] Lagrangian cobordisms and surgery- Hicks

What is Lagrangian k-surgery?

Whitehead torsion, s-cobordism

 [ Ian ] Lecture notes - Morgan sections 2,3 and 4

torsion of a homotopy equivalence, Morse chain complex with \pi_1 coefficients, state s-cobordism theorem

Simple homotopy equivalence of nearby Lagrangians

 [ Lea ] Abouzaid-Kragh Simple homotopy equivalence of nearby Lagrangians