8 papers
Doubly isolated Batyrev mirror pairs and non-smoothable Calabi-Yau threefolds
Bernd Johannes Wuebben
We classify reflexive four-polytopes for which the generic anticanonical hypersurfaces associated with the face fans of the polytope and its polar both have at most isolated singul…
Deformations of toric pairs and the smoothing of Batyrev Calabi-Yau threefolds
Bernd Johannes Wuebben
Let be a reflexive four-polytope with primitive edges. We construct deformations of the toric fourfold defined by its face fan that smooth the singularities of a generic antica…
Non-smoothable Calabi-Yau threefolds from reflexive polytopes
Bernd Johannes Wuebben
We construct projective Calabi-Yau threefolds with isolated Gorenstein canonical singularities that admit no smoothing, as anticanonical hypersurfaces in Gorenstein Fano toric four…
Toward an exotic and an exotic
Bernd Johannes Wuebben
We study a specified Luttinger filling in the construction of Lidman and Piccirillo whose simple connectivity would yield exotic and $\mathbb{CP}^2\#\overline{\math…
Instanton and pillowcase homology of the pretzel knots
Bernd Johannes Wuebben
Hedden, Herald and Kirk conjectured that every knot admits a decomposition along a Conway sphere for which the Lagrangian Floer homology of the two associated immersed curves in th…
Traceless characters and instanton gradings for two-bridge and -torus knots
Bernd Johannes Wuebben
For every torus knot, the rank of the differential of the Daemi-Scaduto S-complex of singular instanton homology is determined by the signature and the Alexander polynomial; this f…
Slope stability of tangent bundles of smooth toric Fano varieties
Bernd Johannes Wuebben
We construct smooth toric Fano -folds of Picard number whose tangent bundles are slope-stable with respect to the anticanonical polarization, for every . The constr…
Beyond De Prado and Cotton: Hierarchical and Iterative Methods for General Mean-Variance Portfolios
Bernd Johannes Wuebben
Hierarchical Risk Parity (De Pardo) and the Schur-complement generalization of Cotton are among the most widely adopted regularised portfolio construction methods, yet both are sig…