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Now showing items 31-36 of 36

The Colored Jones Polynomial and Kontsevich-Zagier Series for Double Twist Knots

[OWP-2017-29] Lovejoy, Jeremy; Osburn, Robert (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-20)

Using a result of Takata, we prove a formula for the colored Jones polynomial of the double twist knots

$K_{(-m,-p)}$ and

$K_{(-m,p)}$ where

$m$ and

$p$ are positive integers. In the

$(-m,-p)$ case, this leads to new ...

Freeness of Multi-Reflection Arrangements via Primitive Vector Fields

[OWP-2017-10] Hoge, Torsten; Mano, Toshiyuki; Röhrle, Gerhard; Stump, Christian (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-20)

In 2002, Terao showed that every reflection multi-arrangement of a real reflection group with constant multiplicity is free by providing a basis of the module of derivations. We first generalize Terao's result to ...

Reducing sub-modules of the Bergman module $\mathbb A^{(\lambda)}(\mathbb D^n)$ under the action of the symmetric group

[OWP-2017-19] Biswas, Shibananda; Ghosh, Gargi; Misra, Gadadhar; Roy, Subrata Shyam (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-20)

The weighted Bergman spaces on the polydisc,

$\mathbb A^{(\lambda)}(\mathbb D^n)$ ,

$\lambda>0,$ splits into orthogonal direct sum of subspaces

$\mathbb P_{\boldsymbol p}\big(\mathbb A^{(\lambda)}(\mathbb D^n)\big)$ indexed ...

On Unipotent Radicals of Pseudo-Reductive Groups

[OWP-2017-12] Bate, Michael; Martin, Benjamin; Röhrle, Gerhard; Stewart, David I. (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-27)

We establish some results on the structure of the geometric unipotent radicals of pseudo-reductive k-groups. In particular, let

$k'$ be a purely inseparable field extension of k of degree

$p^e$ and let

$G$ denote the ...

The Minimal Resolution Conjecture on a general quartic surface in $\mathbb P^3$

[OWP-2017-21] Boij, Mats; Migliore, Juan; Miró-Roig, Rosa M.; Nagel, Uwe (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-27)

Mustaţă has given a conjecture for the graded Betti numbers in the minimal free resolution of the ideal of a general set of points on an irreducible projective algebraic variety. For surfaces in

$\mathbb P^3$ this conjecture ...

Exact Rate of Convergence of k-Nearest-Neighbor Classification Rule

[OWP-2017-25] Györfi, László; Döring, Maik; Walk, Harro (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-16)

A binary classification problem is considered. The excess error probability of the k-nearest neighbor classification rule according to the error probability of the Bayes decision is revisited by a decomposition of the ...