Cornered Heegaard Floer Homology

Christopher L. Douglas, University of Oxford, United Kingdom.Robert Lipshitz, University of North Carolina, Chapel Hill.Ciprian Manolescu, University of California, Los Angeles.

• IntroductionSome abstract 2-algebraMore 2-algebra: bending and smoothingSome homological algebra of 2-modulesThe algebras and algebra-modulesThe cornering module-2-modulesThe trimodules $\mathsf{T}_{DDD}$ and $\mathsf{T}_{DDA}$Cornered 2-modules for cornered Heegaard diagramsGradingsPractical computationsThe nilCoxeter planar algebraBibliography.