Title: Heegaard Floer invariants for homology $S^1 \times S^3$s Abstract: Using Heegaard Floer homology, we construct a numerical invariant for any smooth, oriented 4-manifold $X$ with the homology of $S^1 \times S^3$. Specifically, we show that for any smoothly embedded … Read more
Title: An integral lift of cylindrical contact homology Abstract: I will discuss joint work with Hutchings which gives a rigorous construction of cylindrical contact homology via geometric methods. This talk will highlight our use of non-equivariant constructions, automatic transversality, and … Read more
Title: Wrapped Floer cohomology and Legendrian surgery Abstract: We first review the relation between wrapped Floer cohomology of co-core disks after Lagrangian handle attachment and the Legendrian DGA of the corresponding attaching spheres. Then we discuss a generalization of this … Read more
There will be two talks; one at 3:00 pm and the second talk will be at 4:15 pm. Title: Conway mutation and knot Floer homology Abstract: Mutant knots are notoriously hard to distinguish. Many, but not all, knot invariants take the … Read more
Title: Manipulating singularities of Weinstein skeleta Abstract: Weinstein manifolds are an important class of symplectic manifolds with convex ends/boundary. These 2n dimensional manifolds come with a retraction onto a core n-dimensional stratified complex called the skeleton, which generally has singularities. … Read more
Title: Knotted DNA Abstract: The central axis of the famous DNA double helix is often topologically constrained or even circular. The topology of this axis can influence which proteins interact with the underlying DNA. Subsequently, in all cells there are … Read more
Location: SAS 1102 at North Carolina State University, 4:30 pm Title: Flow and Yamada polynomials, planar triangulations, and TQFT Abstract: In the 1960s Tutte observed that the value of the chromatic polynomial of planar triangulations at (golden ratio +1) obeys a number … Read more
Title: The prism manifold realization problem Abstract: The spherical manifold realization problem asks which spherical three-manifolds arise from surgeries on knots in the three-sphere. In recent years, the realization problem for C, T, O, and I-type spherical manifolds has been solved, … Read more
3:15 pm in Physics 119 at Duke University Title: Link homology and Floer homology in pictures by cobordisms Abstract: There are no fewer than eight link homology theories which admit spectral sequences from Khovanov homology. These theories have very different origins -- … Read more
Physics 119 at Duke University, at 3:15 pm Speaker: Melissa Zhang, Boston College Title: Annular Khovanov homology and 2-periodic links Abstract: I will exhibit a spectral sequence from the annular Khovanov homology of a 2-periodic link to that of its quotient, which … Read more
Location: 332 Phillips Hall, 4:30 pm - 5:30 pm Speaker: Matt Stoffregen, MIT Title: Localization in Khovanov Homology Abstract: For periodic links, we show that the Khovanov space of Lipshitz-Sarkar admits a natural cyclic group action, and identify its fixed point … Read more
Triangle Topology Seminar Location: SAS 2102, North Carolina State University 3:30 pm – 4:30 pm Speaker: Adam Lowrance, Vassar College Title: Gordian distance and spectral sequences in Khovanov homology Abstract: The Gordian distance between two knots is the fewest number … Read more
