English

Monotone Lagrangian Floer theory in smooth divisor complements: III

Symplectic Geometry 2022-11-07 v1 Differential Geometry

Abstract

This is the third paper in a series of papers studying intersection Floer theory of Lagrangians in the complement of a smooth divisor. We complete the construction of Floer homology for such Lagrangians.

Keywords

Cite

@article{arxiv.2211.02095,
  title  = {Monotone Lagrangian Floer theory in smooth divisor complements: III},
  author = {Aliakbar Daemi and Kenji Fukaya},
  journal= {arXiv preprint arXiv:2211.02095},
  year   = {2022}
}

Comments

56 pages, 8 figures. This paper is born out of the revisions of 1808.08915 and 1809.03409, where some parts of the older versions of 1808.08915 and 1809.03409 are moved here. We also added a brief speculative discussion at the end about a generalization of our construction to the case of non-compact Lagrangians and its formal similarity to the definition of monopole Floer homology