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Latest papers

1. Integrable distortion I: Weil--Petersson circle homeomorphisms and the Schoen conjecture math.CV · 18 Oct · 1 hit

   …M"obius-invariant boundary energy, quantitatively comparable to the weighted square norm of the minimiser's Hopf differential. For arbitrary quasisymmetric data, we prove Markovi'c's theorem (the Schoen conjecture) by…

2. Superschemes and supermanifolds with free $\mathbb{A}^{0|n}$-action math.AG · 18 Oct · 1 hit

   …$X \to X/\mathbb{A}^{0|n}$. This result is proven here in an alternative, elementary way. To all of these, a Hopf-algebraic approach is effectively employed.

3. On simplicial maps with non-zero Hopf invariant math.AT · 18 Oct · 3 hits

   …In this paper, we consider maps between (triangulated oriented rational homology) manifolds with non-zero Hopf invariant and establish bounds on the simplicial complexity of the fiber of a regular point. The lower…

4. Non-abelian LVM manifolds} math.CV · 18 Oct · 1 hit

   …We compute their connected automorphism groups and show that they admit no maximal torus action. They are Hopf-surface bundles over compact complex quotients of stable Grassmannian loci; these bases give related…

5. Pre-Nichols algebras and generation of pointed Hopf algebras in positive characteristic math.QA · 18 Oct · 4 hits

   …of odd order, outside finitely many characteristics depending only on $G$, every finite-dimensional pointed Hopf algebra $H$ with $G(H)\simeq G$ and dimension prime to the characteristic is generated by group-like and…

6. The first Cech derived functor math.CT · 17 Oct · 1 hit

   …\mathcal{X}$ satisfying classical conditions introduced by Quillen). The former corresponds to the Hopf formula for the second homology object associated to $I$, while the latter represents the first \v Cech…

7. Optimal Trading Filters and the Value of Predictive Signals q-fin.MF · 17 Oct · 1 hit

   …stationary quadratic trading problem with transient price impact using tools from prediction theory: Wiener-Hopf factorization gives the optimal policy as the composition of a conditional forecast and an explicit…

8. Coactions of weak multiplier Hopf algebras math.QA · 17 Oct · 3 hits

   In this article, we investigate the notion of a coaction for a weak multiplier Hopf algebra. We show that there is a duality for actions and coactions of weak algebraic quantum groups.…