#TodaysMath 2/2: The appropriate #Floer #cohomology theory to associate to (composable) Lagrangian correspondences is *quilted Floer cohomology*. I like this paper by Wehrheim and Woodward to learn about it:
https://arxiv.org/abs/0905.1368

#Reference request: I am attending a learning seminar on #Floer #Homotopy theory this semester. Coming from the symplectic side of things, I could use a nice accessible reference on the #algebra side, specifically on stable ∞ -#categories and the category of spectra in particular.
I already have Chapter 1 of *Higher Algebra* by Jacob Lurie.
Anybody have any other good suggestions? (Ideally ones that do not require the whole kitchen sink of model categories.)
Thanks in advance! 🙂 :k5:

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To start, I am working on 2-dimensional "universes" like the disc with boundary, which are not strictly speaking GC, but similar enough to be useful.
My #preprint
https://arxiv.org/abs/2207.06894
describes how to define #Floer #cohomology for so-called log-#symplectic surfaces. I am currently finishing off the full description of the category of branes in this setting, so keep your eyes open! 🙂

#ExplainingMyResearch 17
Now, in this particular setting, this does not seem very useful - you can tell what the minimal number of intersection points is by just looking at the picture.
But this is actually just an extremely simple example of a complicated invariant called #Floer #cohomology, which is central to the #math description of #MirrorSymmetry!