Floer homology

• 1987 Floer invents Floer homology and proves Arnold's conjecture
• Quantum cohomology

expositions

• Ciprian Manolescu, An introduction to knot Floer homology, http://arxiv.org/abs/1401.7107v2
• Manolescu, Ciprian. “Floer Theory and Its Topological Applications.” arXiv:1508.00495 [math], August 3, 2015. http://arxiv.org/abs/1508.00495.
• Lipshitz, Robert. ‘Heegaard Floer Homologies: Lecture Notes’. arXiv:1411.4540 [math], 17 November 2014. http://arxiv.org/abs/1411.4540.

articles

• Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, Lagrangian Floer theory and mirror symmetry on compact toric manifolds, http://arxiv.org/abs/1009.1648v3
• Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono, Anti-symplectic involution and Floer cohomology, http://arxiv.org/abs/0912.2646v4
• Tye Lidman, Ciprian Manolescu, Floer homology and covering spaces, http://arxiv.org/abs/1603.00584v1
• Tye Lidman, Ciprian Manolescu, The equivalence of two Seiberg-Witten Floer homologies, http://arxiv.org/abs/1603.00582v1
• Albers, Peter, and Urs Frauenfelder. ‘Bubbles and Onis’. arXiv:1412.4360 [math], 14 December 2014. http://arxiv.org/abs/1412.4360.