2 citations · 2 across the 2 of their papers we have counts for
6 papers
Improved Batching Strategy For Irregular Time-Series ODE
Ting Fung Lam, Yony Bresler, Ahmed Khorshid +1
Irregular time series data are prevalent in the real world and are challenging to model with a simple recurrent neural network (RNN). Hence, a model that combines the use of ordina…
Parametrized Morse Theory and Positive Scalar Curvature
Nathan Perlmutter
We use the cobordism category constructed in arXiv:1703.01047 to the study the homotopy type of the space of positive scalar curvature metrics on a spin manifold of dimension > 4.…
Cobordism Categories and Parametrized Morse Theory
Nathan Perlmutter
Fix a tangential structure and an integer . In this paper we determine the homotopy type of a cobordism category $\mathbf{Cob}^{\text{mf}, k…
Cobordism categories and moduli spaces of odd dimensional manifolds
Fabian Hebestreit, Nathan Perlmutter
We prove that the stable moduli space of -connected, -parallelizable, -dimensional manifolds is homology equivalent to an infinite loopspace for $n \geq 4, n \neq…
Homological Stability for Diffeomorphism Groups of High Dimensional Handlebodies
Nathan Perlmutter
In this paper we prove a homological stability theorem for the diffeomorphism groups of high dimensional manifolds with boundary, with respect to forming the boundary connected sum…
Stable Moduli Spaces of High Dimensional Handlebodies
Boris Botvinnik, Nathan Perlmutter
We study the moduli space of handlebodies diffeomorphic to , i.e. the classifying space of the…