A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Develop a variational framework for statistical inference on cyclic interactions.
Characterizes non-degenerate cyclic metric Lie algebras.
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 manifold. This paper gives a simple proof of this conjecture when the holonomy group is cyclic or quaternionic. The proof is based on the interaction between flat bundles…
This paper tackles causal interactions in mixtures of DAGs using interventions.
Paper examines Go AI robustness against adversarial attacks.
We characterize distributional equivalence in latent-variable models with cycles.
This paper introduces 'General Cyclical Training' for neural networks.
The paper generalizes cyclic metrics in homogeneous Finsler geometry.
In this paper we study the connections between cyclic presentations of groups and branched cyclic coverings of (1,1)-knots. In particular, we prove that every n-fold strongly-cyclic branched covering of a (1,1)-knot admits a cyclic presentation for the fundamental group encoded by a Heegaard diagram of genus n.
Following the financial crisis of 2007-2008, a deep analogy between the origins of instability in financial systems and complex ecosystems has been pointed out: in both cases, topological features of network structures influence how easily distress can spread within the system. However, in financial network models, the…
Proves almost profinite rigidity for certain free-by-cyclic groups.
We study the connections among the mapping class group of the twice punctured torus, the cyclic branched coverings of (1,1)-knots and the cyclic presentations of groups. We give the necessary and sufficient conditions for the existence and uniqueness of the n-fold strongly-cyclic branched coverings of (1,1)-knots, thro…
New cyclicity measures defined in weighted Besov spaces, with stability and geometric analysis.
We refine the cyclic cohomological apparatus for computing the Hopf cyclic cohomology of the Hopf algebras associated to infinite primitive Cartan-Lie pseudogroups, and for the transfer of their characteristic classes to foliations. The main novel feature is the precise identification as a Hopf cyclic complex of the im…
MuJAM learns traffic signal control policies that generalize to unseen intersections and traffic conditions.
In this paper, we study quandles of cyclic type, which form a particular subclass of finite quandles. The main result of this paper describes the set of isomorphism classes of quandles of cyclic type in terms of certain cyclic permutations. By using our description, we give a direct classification of quandles of cyclic…
Cyclical learning rates improve DRL performance without manual tuning.
The paper investigates cyclic arbitrage opportunities in decentralized exchanges.
Unified rigidity theorem for cyclic and alternating surfaces.
In spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric spin spaces. In this paper, we give some characterizations and properties of cyclic and traceless cyclic homogeneous Riemannian manifolds and …
The abstract introduces a new cyclic structure for surfaces.
We give a construction of cyclic cocycles representing the equivariant characteristic classes of equivariant bundles. Our formulas generalize Connes' Godbillon-Vey cyclic cocycle. An essential tool of our construction is Connes-Moscovici's theory of cyclic cohomology of Hopf algebras.
Study integrable discretizations of cyclic systems with circular coordinate lines.
A surgery on a knot in 3-sphere is called SU(2)-cyclic if it gives a manifold whose fundamental group has no non-cyclic SU(2) representations. Using holonomy perturbations on the Chern-Simons functional, we prove that the distance of two SU(2)-cyclic surgery coefficients is bounded by the sum of the absolute values of …
New definite 4-manifolds found with non-cyclic groups.
We classify -cyclic and -abelian 3-manifolds, for which every representation of the fundamental group into has cyclic or abelian image respectively, among geometric 3-manifolds which are not hyperbolic. As an application, we give examples of hyperbolic 3-manifolds which do not admit degree-1 maps …
Cyclic projections in Hadamard spaces can be irregular, unlike in Hilbert spaces.
Cyclic covers of knots uniquely determine the original knot.
New framework for cyclic quantum causal models with graph separation property.
New Heegaard Floer homology for orbifolds with cyclic singularities.
A central result here is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C*-algebras having smooth manifolds M as their spectrum. More precisely, the entire cyclic homology is shown to be canonically isomorphic to the continuous periodic cyclic homology for these…
Let be an irreducible, compact, connected, orientable 3-manifold whose boundary is a torus. We show that if is hyperbolic, then it admits at most six finite/cyclic fillings of maximal distance 5. Further, the distance of a finite/cyclic filling to a cyclic filling is at most 2. If has a non-boundary-paralle…
We discuss 3-manifolds which are cyclic coverings of the 3-sphere, branched over 2-bridge knots and links. Different descriptions of these manifolds are presented: polyhedral, Heegaard diagram, Dehn surgery and coloured graph constructions. Using these descriptions, we give presentations for their fundamental groups, w…
Study counterfactuals in cyclic systems with shifts and scales.
The paper defines cyclic sets from ribbon string links and connects them to quantum invariants.
Develops Lie-theoretic perspective on Hitchin's equations for cyclic G-Higgs bundles.
Study improves Simpson's estimate for cyclic harmonic bundles.
We show that, for any prime p, a knot K in the 3-sphere is determined by its p-fold cyclic unbranched covering. We also investigate when the m-fold cyclic unbranched covering of a knot coincides with the n-fold cyclic unbranched covering of another knot, for different coprime integers m and n.
Cyclical MCMC tackles high-dimensional multimodal distributions, showing convergence under certain conditions.
The paper reveals a spinning top geometry in real-world games.
We study tori which are cyclic covers of the standard torus, that is, the deck transformation group of the covering map is cyclic. These covering tori can be parametrized in a natural way and we show that being cyclic is equivalent to certain arithmetic condition on these parameters. There is a natural $\mathrm{SL}(2,\…
New examples show transverse knots are determined by their branched covers.
Study surfaces in 4-manifolds with cyclic fundamental group.
We consider Lie groups equipped with a left-invariant cyclic Lorentzian metric. As in the Riemannian case, in terms of homogeneous structures, such metrics can be considered as different as possible from bi-invariant metrics. We show that several results concerning cyclic Riemannian metrics do not extend to their Loren…
We present a geometric approach, in the spirit of the Chern-Weil theory, for constructing cocycles representing the classes of the Hopf cyclic cohomology of the Hopf algebra H(n) relative to GL(n, R). This provides an explicit description of the universal Hopf cyclic Chern classes, which complements our earlier geometr…
New algebraic structures called cyclic Lie-Rinehart algebras are defined.
A myriad of irreducible symplectic 4-manifolds with abelian non-cyclic fundamental group is constructed. The botany of manifolds with finite non-cyclic fundamental groups is also studied.
Study generalizes Hermitian-Einstein equation for cyclic Higgs bundles, proving existence and inequality.