Recall that a nilmanifold is a quotient N∖L of a simply connected nilpotent Lie group L by a discrete cocompact subgroup N. A nilmanifold is parallelizable; indeed one projects a basis of left invariant vector fields on L to the nilmanifold. Since N…

A long-standing conjecture of Farrell and Zdravkovska and independently S.~T.~Yau states that every almost flat manifold is the boundary of a compact…

Analyticity constitutes a rigid constraint on hadron scattering amplitudes. This property is used to relate models in different energy regimes. Using…

We use topological surgery in dimension four to give sufficient conditions for the zero framed surgery manifold of a 3-component link to be homology …

This section is devoted to the proof of Theorem 4.3. Let (G,Z) be a sparse toroidal grid diagram with some free O’s marked for destabilization, as in Section 3.2. We define a filtration F on CP∗(G,Z) as follows. Let us mark one T in each square of t…

We give combinatorial descriptions of the Heegaard Floer homology groups for arbitrary three-manifolds (with coefficients in Z/2). The descriptions a…

This work of A. B. was supported in part by NSF grant number DMS-1109532, that of V. M. and M. S. J. by DMS-1109638, and that of E.S.T. by DMS-1009950, DMS-1109640 and DMS-1109645, as well as the Minerva Stiftung/Foundation.

In this paper, a lower bound estimate on the uniform radius of spatial analyticity is established for solutions to the incompressible, forced Navier-…

In source memory studies, a decision-maker is concerned with identifying the context in which a given episodic experience occurred. A common paradigm…

In this section, we deal with B-functionals with positivity property. For the notion of positivity, we need a ∗-structure on our algebras. We assume the algebra B has a nice positivity structure, i.e. we demand it to be a unital C∗-algebra. For ∗-al…

In this paper, we develop the notion of free-Boolean independence in an amalgamation setting. We construct free-Boolean cumulants and show that the v…

In scientific applications, there often are several competing models that could be fit to the observed data, so quantification of the model uncertain…

The increasing pervasiveness of social media creates new opportunities to study human social behavior, while challenging our capability to analyze th…

Self-stabilizing algorithms are an important because of their robustness and guaranteed convergence. Starting from any arbitrary state, a self-stabil…

Among the consequences of the disordered interaction topology underlying many social, techno- logical and biological systems, a particularly importan…

This paper presents an approach to forecast future presence and location of human hands and objects. Given an image frame, the goal is to predict wha…

In this paper we study the extraction of representative elements in the data stream model in the form of submodular maximization. Different from the …

Pyrochlore iridates have recently attracted growing interest in condensed matter physics because of their potential for realizing new topological sta…

The brain in conjunction with the body is able to adapt to new environments and perform multiple behaviors through reuse of neural resources and tran…

We present a set of N-body simulations of a class of models in which an unstable dark matter particle decays into a stable non-interacting dark matte…

In this paper, we propose a method to learn a joint multimodal embedding space. We compare the effect of various constraints using paired text and vi…

Financial market prediction on the basis of online sentiment tracking has drawn a lot of attention recently. However, most results in this emerging d…

Discourse-annotated corpora are an important resource for the community. However, these corpora are often annotated according to different frameworks…

A major emerging challenge is how to protect people's privacy as cameras and computer vision are increasingly integrated into our daily lives, includ…

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