
Explore homology cobordism and Heegaard Floer homology, delving into manifolds, theorems, and chain complexes in this advanced mathematical lecture.

Exploration of PL-surfaces in homology 4-balls, discussing minimum genus of PL surfaces and their bounds in homology balls using Heegaard Floer homology. Joint research findings presented.

Explore Heegaard Floer homology and its applications in low-dimensional topology, focusing on dimensions between 3 and 3.5 in this advanced mathematical lecture.

Explore Heegaard Floer homology and its applications in low-dimensional topology, focusing on dimensions between 2 and 3.5 with expert Jen HOM.

Explore Heegaard Floer homology and its applications in low-dimensional topology, focusing on dimensions 3.5 to 1 in this advanced mathematics lecture.

Explore combinatorial approaches to Heegaard Floer homology, a powerful invariant in low-dimensional topology, with insights from Ph. Kirablev's lecture on advanced mathematical techniques.

Explore bordered Floer homology, dg-modules, and the topological interpretation of module homomorphism composition in Heegaard Floer complexes. Gain insights into cobordism maps and their consequences.

Explore coherent orientations of DGA maps in exact Lagrangian cobordisms, focusing on combinatorial formulas for mini-dipped pinch moves and applications to Heegaard Floer Homology.

Explore spectral sequences linking Khovanov homology to Heegaard Floer homology and their analogues for links in S^1×S^2, involving bordered Floer theory and Hochschild homology.

Explore Heegaard Floer homology's role in detecting corks and discover new examples addressing Gompf's question in 4-manifold exotic smooth structures.

Explore orderability of 3-manifold groups, focusing on the L-space conjecture and its connections to group orderability, taut foliations, and Heegaard Floer homology in hyperbolic 3-manifolds.