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Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs

期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()

For a nonlinear operator T satisfying certain structural assumptions, our main theorem states that the following claims are equivalent: i) T is surjec......

Affine nil-Hecke algebras and quantum cohomology

期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()

Let G be a compact, connected Lie group and T subset of G a maximal torus. Let (M, omega) be a monotone closed symplec-tic manifold equipped with a Ha......

Shift-invariance of the colored TASEP and finishing times of the oriented swap process

期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()

We prove a new shift-invariance property of the colored TASEP. From the shift-invariance of the colored stochastic six-vertex model (proved in Borodin......

Simplicity, bounded normal generation, and automatic continuity of groups of unitaries

期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()

We show that the commutator subgroup of the group of unitaries connected to the identity in a simple unital C* -algebra is simple modulo its center. W......

Probabilistic constructions in continuous combinatorics and a bridge to distributed algorithms

期刊: ADVANCES IN MATHEMATICS, 2023; 415 ()

The probabilistic method is a technique for proving combina-torial existence results by means of showing that a randomly chosen object has the desired......

Unbounded fast escaping wandering domains

期刊: ADVANCES IN MATHEMATICS, 2023; 417 ()

We introduce a new approximation technique into the context of complex dynamics that allows us to construct examples of transcendental entire function......

A Riemann-Hurwitz-Plucker formula

期刊: ADVANCES IN MATHEMATICS, 2023; 417 ()

We prove a simultaneous generalization of the classical Riemann-Hurwitz and Plucker formulas, addressing the total number of inflection points of a mo......

On meridian-traceless SU(2)-representations of link groups

期刊: ADVANCES IN MATHEMATICS, 2023; 418 ()

Suppose Lis a link in S3. We show that pi 1(S3 - L) admits an irreducible meridian-traceless representation in SU(2) if and only if L is not the unkno......

Successive minima of line bundles (vol 365, 107045, 2020)

期刊: ADVANCES IN MATHEMATICS, 2023; 420 ()

The proof of Theorem 0.4 in Successive minima of line bundles contains an error. We give a modified statement of Theorem 0.4, which is weaker than the......

Tambara-Yamagami, loop groups, bundles and KK-theory

期刊: ADVANCES IN MATHEMATICS, 2023; 421 ()

This paper is part of a sequence interpreting quantities of conformal field theories K-theoretically. Here we give geometric constructions of the asso......

Undistorted fillings in subsets of metric spaces

期刊: ADVANCES IN MATHEMATICS, 2023; 423 ()

Lipschitz k -connectivity, Euclidean isoperimetric inequalities, and coning inequalities all measure the difficulty of filling a k -dimensional cycle ......

Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background

期刊: ADVANCES IN MATHEMATICS, 2023; 426 ()

In this paper, we study the soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero back......

On the spectral theorem of Langlands

期刊: ADVANCES IN MATHEMATICS, 2023; 426 ()

We show that the Hilbert subspace of L2(G(F)\G(A)) generated by wave packets of Eisenstein series built from discrete series is the whole space. Toget......

Open sets of partially hyperbolic skew products having a unique SRB measure

期刊: ADVANCES IN MATHEMATICS, 2023; 427 ()

In this paper we obtain C2-open sets of dissipative, partially hyperbolic skew products having a unique SRB measure with full support and full basin. ......

Composite values of shifted exponentials

期刊: ADVANCES IN MATHEMATICS, 2023; 429 ()

A well-known open problem asks to show that 2n + 5 is composite for almost all values of n. This was proposed by Gil Kalai as a possible Polymath proj......

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