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arXiv:2602.21120v1 Announce Type: cross Abstract: Hamiltonians ${\cal H}^{a}_k$ of new integrable systems associated with the integer rays $(1,a)$ (commutative subalgebras) of Ding-Iohara-Miki (DIM) algebra in...
arXiv:2602.21122v1 Announce Type: cross Abstract: We present a classification of all scalar Lie point symmetries of the Standard Model with one or two real gauge-singlet...
arXiv:2602.21129v1 Announce Type: cross Abstract: We develop a continuum framework for confining planar QCD ($N_c\to\infty$) by quantizing the Fermi-string (1981) degrees of freedom on the...
arXiv:2602.21166v1 Announce Type: cross Abstract: Explicit filters play a pivotal role in the scale separation and numerical stability of advanced Large Eddy Simulation (LES) closures,...
arXiv:1403.5446v2 Announce Type: replace Abstract: Using the work of Cornulier-Valette and Whyte, we show that neither the Haagerup property nor weak amenability is invariant under...
arXiv:1803.11014v5 Announce Type: replace Abstract: This erratum remedies errors in the literature pertaining to the stable Adams conjecture. As part of the above corrections, we...
arXiv:2002.01995v5 Announce Type: replace Abstract: Generalizing the notion of a multiplicative unitary (in the sense of Baaj-Skandalis), which plays a fundamental role in the theory...
arXiv:2104.00585v2 Announce Type: replace Abstract: We consider the classical Dirac operator on globally hyperbolic manifolds with timelike boundary and show well-posedness of the Cauchy initial-boundary...
arXiv:2107.05487v5 Announce Type: replace Abstract: We study complete conformal gradient solitons, a class containing gradient Yamabe solitons and many generalized Yamabe-type structures, including gradient almost...
arXiv:2112.05949v5 Announce Type: replace Abstract: The present paper continues our foundational work on real algebra with preordered commutative semifields and semirings. We prove two abstract...
arXiv:2207.10230v2 Announce Type: replace Abstract: This paper studies optimal linear power control for battery-limited energy harvesting communications. It provides a systematic analysis of linear power...
arXiv:2208.11183v2 Announce Type: replace Abstract: In this article we study derived (auto)equivalences of generalized Kummer varieties $\mathrm{Kum}^n(A)$. We provide an answer to a question raised...
arXiv:2209.10972v2 Announce Type: replace Abstract: Sharply o-minimal structures (denoted \so-minimal) are a strict subclass of the o-minimal structures, aimed at capturing some finer features of...
arXiv:2302.09412v3 Announce Type: replace Abstract: In this paper, we establish formulas for computing genus-$0$ Gromov-Witten and Welschinger invariants of some del Pezzo varieties of dimension...
arXiv:2303.15613v3 Announce Type: replace Abstract: We prove that the Quillen posets $\mathcal{A}_p(H)$ of $p$-extensions $H$ of simple unitary groups have non-zero homology in the largest...
arXiv:2305.04387v2 Announce Type: replace Abstract: Let $(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and $c_1(T\bar{M})=0$. Suppose that $(\bar{M}, \omega)$ is equipped with...
arXiv:2305.17298v3 Announce Type: replace Abstract: We investigate optimization models for the purpose of computational redistricting. Our focus is on nonconvex objectives for estimating expected Black...
arXiv:2306.03285v3 Announce Type: replace Abstract: We prove the existence of the first eigenvalue and an associated eigenfunction with Dirichlet condition for the complex Monge-Amp\`ere operator...
arXiv:2306.11883v3 Announce Type: replace Abstract: It is known that, if removing some $n$ edges from a graph $\Gamma$ destroys all subgraphs isomorphic to a given...
arXiv:2310.08283v2 Announce Type: replace Abstract: We establish an analog of a theorem of Stallings which asserts the homomorphisms between the universal nilpotent quotients induced by...
arXiv:2311.00158v2 Announce Type: replace Abstract: We provide a complete classification of groups that can be realized as isometry groups of a translation surface $M$ with...
arXiv:2311.15289v2 Announce Type: replace Abstract: The \textit{generalized Tur\'an number} $\mathrm{ex}(n, T, F)$ is the maximum possible number of copies of $T$ in an $F$-free graph...
arXiv:2311.16389v2 Announce Type: replace Abstract: We study PL bordism theories from a quantitative perspective. Such theories include those of PL manifolds, ordinary homology theory, as...
arXiv:2311.16597v3 Announce Type: replace Abstract: We give a treatment of relative Calabi--Yau structures on functors between $R$-linear stable $\infty$-categories, with $R$ any $\mathbb{E}_\infty$-ring spectrum, generalizing...