Lattices in Low-Dimensional Topology
Explore advanced concepts in low-dimensional topology, focusing on lattice structures and their applications in geometric and topological analysis.
Lattices in Low-Dimensional Topology
Explore the fascinating intersection of lattice theory and low-dimensional topology, delving into fundamental concepts and their applications in geometric and topological structures.
Mohammed Abouzaid: Bordism and Floer Theory
Explore the intersection of Morse theory and infinite-dimensional spaces in topology. Learn about recent advances in Floer theory and its applications to generalized homology and derived orbifold bordism.
Heegaard Branes and Exact Results for Non-perturbative Complex Chern-Simons Theory
Explore Heegaard branes in moduli spaces of Higgs bundles and their applications in mathematics, from geometric Langlands to low-dimensional topology and complex Chern-Simons theory.
Homology Cobordism and the Geometry of Hyperbolic Three-Manifolds
Explore the interaction between hyperbolic geometry and homology cobordism in low-dimensional topology using monopole Floer homology to study subgroups of the homology cobordism group.
Algebraic Presentations of 4- and 3-Manifolds in Low-Dimensional Topology
Explore algebraic presentations of 4- and 3-manifolds, focusing on categories of n-cobordisms and their relation to low-dimensional topology and combinatorial group theory.
Algebraization of Low-Dimensional Topology - Part II
Explore algebraic presentations of cobordism categories in 3 and 4 dimensions, focusing on torus-based structures and their implications for Topological Quantum Field Theories.
Division, Group Rings, and Negative Curvature in Low-Dimensional Topology
Explore low-dimensional topology through group rings and division algorithms, focusing on 2-complexes and hyperbolic manifolds. Gain insights into fundamental group structures and cell-decomposition complexity.
An Approach to Simon's Conjecture
Explore fundamental group epimorphisms between 3-manifolds and their implications for knot genera. Investigate conjectures related to Simon's conjecture in knot theory.
Knots and Categories
Explore connections between knot theory and category theory, delving into mathematical concepts and their interrelationships in topology and algebra.
Gauge Theory and Low Dimensional Topology - Conference Lecture
Explore gauge theory and low-dimensional topology with expert insights from Paul Feehan in this engaging 48-minute conference talk at the University of Miami.
Gauge Theory and Low Dimensional Topology
Explore gauge theory and low-dimensional topology with insights from MIT expert Tom Mrowka in this conference talk at the University of Miami.
An Exact Triangle in Monopole Floer Spectra
Explore an exact triangle for monopole Floer spectra, its application to almost-rational plumbings, and potential future calculations in this advanced topology conference talk.
Lattices in Low-Dimensional Topology
Explore advanced concepts in low-dimensional topology, focusing on lattice structures and their applications in geometric and topological analysis.
Low Dimensional Topology and Circle-Valued Morse Functions
Explore the Kakimizu complex for genus one hyperbolic knots, examining its structure, dimensions, and examples across various dimensions in 3-sphere topology.
Low Dimensional Topology and Circle-valued Morse Functions
Explore Khovanov homology of torus braids, characterizing simplified complexes and their applications in quantum topology. Gain insights into recent advancements and conjectures in low-dimensional topology.
Low Dimensional Topology and Circle-Valued Morse Functions
Explore thin position theory for knots, links, and graphs, and its applications to width, tunnel number, and bridge number in topology. Learn about "cut"-incompressible surfaces and additivity of knot invariants.
Low Dimensional Topology and Circle-Valued Morse Functions
Explore Morse normal form for branched surfaces and its application in constructing taut foliations, building on Charles Delman's work. Gain insights into advanced topics in low-dimensional topology.
Low Dimensional Topology & Circle-valued Morse Functions
Explore tangle decompositions in knot theory, focusing on Khovanov homology and immersed curves. Learn how these concepts aid in investigating cosmetic surgery and crossing conjectures.
Low Dimensional Topology and Circle-valued Morse Functions
Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.
Low Dimensional Topology and Circle-valued Morse Functions
Explore taut foliations in 3-manifolds with Heegaard genus two, examining the connection between left-orderable fundamental groups and co-orientable taut foliations in closed, orientable, irreducible 3-manifolds.