NettetLectures on Heegaard Floer homology(P.S.O. and Z. Szabó) are notes from a lecture course, giving applications of the theory. Holomorphic disks and topological invariants for closed three-manifolds(P.S.O. and Z. Szabó) is the … Nettet29. nov. 2012 · This is a survey of bordered Heegaard Floer homology, an extension of the Heegaard Floer invariant HF-hat to 3-manifolds with boundary. Emphasis is placed on how bordered Heegaard Floer homology can be used for computations. Comments: 73 pages, 29 figures. Based on lectures at the Contact and Symplectic Topology Summer …
Lectures notes on Heegaard Floer homology - ResearchGate
NettetHeegaard Floer homology [12] is an invariant for three-manifolds, defined using holomorphic disks and Heegaard diagrams. In [11] and [15], this construction is … Nettet5. apr. 2024 · These are notes for a lecture series on Heegaard Floer homology. ... In addition, we compute the Heegaard Floer homology of every T2-bundle over S1 with first Betti number equal to 1, ... candy beleduc
HEEGAARD FLOER HOMOLOGIES LECTURE NOTES - arXiv
NettetPART 3 LAGRANGIAN INTERSECTION FLOER HOMOLOGY 12 Floer homology on cotangent bundles 3 12.1 The action functional as a generating function 4 12.2 L2-gradient flow of the action functional 7 12.3 C0 bounds of Floer trajectories 11 12.4 Floer-regular parameters 15 12.5 Floer homology of submanifold S ⊂N 16 12.6 Lagrangian spectral … Nettet20. okt. 2024 · Jacob Rasmussen Research My research interests lie in the area of low-dimensional topology. I work on Heegaard Floer homology, Khovanov homology and categorification, and their applications to the topology of knots, 3-manifolds, and 4-manifolds. The image above is neither a flying saucer nor an airplane. NettetIn Section 6 we outline the construction of involutive Heegaard Floer homology, joint work of Hendricks and the author [HM15]. Involutive Heegaard Floer homology is a … candy beer