17 citations · 34 across the 8 of their papers we have counts for
9 papers
Quantum Steenrod powers and Hamiltonian maps
Shaoyun Bai, Egor Shelukhin, Nicholas Wilkins +1
We prove a series of new results in Hamiltonian dynamics on a general closed symplectic manifold , including: 1. If admits a Hamiltonian diffeomorphism which is either…
A survey of equivariant operations on quantum cohomology for symplectic manifolds
Nicholas Wilkins
In this survey paper, we will collate various different ideas and thoughts regarding equivariant operations on quantum cohomology (and some in more general Floer theory) for a symp…
The -equivariant cohomology of genus zero Deligne-Mumford space with marked points
Dain Kim, Nicholas Wilkins
We prove that the Serre spectral sequence of the fibration c…
-localisation by pseudocycles, lifts to -localisation of moduli spaces, and application to invariants of -equivariant symplectic cohomology
Nicholas Wilkins
We demonstrate a way to apply -localisation to moduli spaces of holomorphic curves. We first prove a reinterpretation of Atyiah-Bott -localisation, called {\it localisati…
Covariant constancy of quantum Steenrod operations
Paul Seidel, Nicholas Wilkins
We prove a relationship between quantum Steenrod operations and the quantum connection. In particular there are operations extending the quantum Steenrod power operations that, whe…
Modeling Global Body Configurations in American Sign Language
Nicholas Wilkins, Beck Cordes Galbraith, Ifeoma Nwogu
American Sign Language (ASL) is the fourth most commonly used language in the United States and is the language most commonly used by Deaf people in the United States and the Engli…
Regression with Uncertainty Quantification in Large Scale Complex Data
Nicholas Wilkins, Michael Johnson, Ifeoma Nwogu
While several methods for predicting uncertainty on deep networks have been recently proposed, they do not readily translate to large and complex datasets. In this paper we utilize…
Quantum Steenrod squares and the equivariant pair-of-pants in symplectic cohomology
Nicholas Wilkins
We relate the quantum Steenrod square to Seidel's equivariant pair-of-pants product for open convex symplectic manifolds that are either monotone or exact, using an equivariant ver…
A construction of the quantum Steenrod squares and their algebraic relations
Nicholas Wilkins
We construct a quantum deformation of the Steenrod square construction on closed monotone symplectic manifolds, based on the work of Fukaya, Betz and Cohen. We prove quantum versio…