Local equivalence and refinements of Rasmussen's s‐invariant
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
wiley +1 more source
A Commutator Theorem and Weighted BMO [PDF]
The main result of this paper is a commutator theorem: If μ \mu and λ \lambda are A p {A_p} weights, then the commutator H H , M b {M_b} is a bounded operator from
openaire +2 more sources
Assembly of constructible factorization algebras
Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson +2 more
wiley +1 more source
The ∞$\infty$‐categorical reflection theorem and applications
Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley +1 more source
Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley +1 more source
FIXED POINT THEOREMS FOR COMMUTING MAPPINGS
The author proves theorems of the following type: Let f and g be two continuous functions on a complete metric space and T, S two multivalued functions on the space CB(X) of nonempty closed and bounded subsets of X. If these functions commute and fullfil some inequality there exist common fixed points.
openaire +2 more sources
Framed cohomological Hall algebras and cohomological stable envelopes. [PDF]
Botta TM.
europepmc +1 more source
Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation. [PDF]
Dawood H, Megahed N.
europepmc +1 more source
Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures. [PDF]
Srivastava HM +3 more
europepmc +1 more source
A New Model of Interval-Valued Intuitionistic Fuzzy Weighted Operators and Their Application in Dynamic Fusion Target Threat Assessment. [PDF]
Fan C, Fu Q, Song Y, Lu Y, Li W, Zhu X.
europepmc +1 more source

