Now showing items 6-25 of 38

• #### Braid equivalences and the L-moves ﻿

[OWP-2011-20] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-19)
In this survey paper we present the L-moves between braids and how they can adapt and serve for establishing and proving braid equivalence theorems for various diagrammatic settings, such as for classical knots, for knots ...
• #### A categorical model for the virtual braid group ﻿

[OWP-2011-19] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-18)
• #### Classification of totally real elliptic Lefschetz fibrations via necklace diagrams ﻿

[OWP-2011-13] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
We show that totally real elliptic Lefschetz brations that admit a real section are classified by their "real loci" which is nothing but an $S^1$-valued Morse function on the real part of the total space. We assign to ...
• #### The Cleavage Operad and String Topology of Higher Dimension ﻿

[OWP-2011-37] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
• #### Cluster structures on simple complex lie groups and the Belavin-Drinfeld classification ﻿

[OWP-2011-10] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-12)
We study natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structutures compatible with these cluster structures. According to our main conjecture, each class in the ...
• #### Combinatorics of Vassiliev invariants ﻿

[OWP-2011-22] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-20)
This paper is an introductory survey of the combinatorial aspects of the Vassiliev theory of knot invariants following the lectures delivered at the Advanced School on Knot Theory and its Applications to Physics and Biology ...
• #### Coxeter Arrangements and Solomon's Descent Algebra ﻿

[OWP-2011-03] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-6)
• #### Crystal energy functions via the charge in types A and C ﻿

[OWP-2011-25] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-23)
The Ram-Yip formula for Macdonald polynomials (at $t=0$) provides a statistic which we call charge. In types $A$ and $C$ it can be defined on tensor products of Kashiwara-Nakashima single column crystals. In this ...
• #### Definable orthogonality classes in accessible categories are small ﻿

[OWP-2011-14] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-15)
We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopenka's principle. We prove that the necessary ...
• #### Dominance and Transmissions in Supertropical Valuation Theory ﻿

[OWP-2011-07] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
This paper is a sequel of [IKR1], where we defined supervaluations on a commutative ring $R$ and studied a dominance relation $\Phi >= v$ between supervaluations $\varphi$ and $\upsilon$ on $R$, aiming at an enrichment of ...
• #### Extremal configurations of polygonal linkages ﻿

[OWP-2011-24] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-22)
• #### Formal adjoints of linear DAE operators and their role in optimal control ﻿

[OWP-2011-15] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-16)
For regular strangeness-free linear differential-algebraic equations (DAEs) the definition of an adjoint DAE is straightforward. This definition can be formally extended to general linear DAEs. In this paper, we analyze ...
• #### Higher Finiteness Properties of Reductive Arithmetic Groups in Positive Characteristic: the Rank Theorem ﻿

[OWP-2011-05] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-8)
We show that the finiteness length of an $S$-arithmetic subgroup $\Gamma$ in a noncommutative isotropic absolutely almost simple group $\mathcal{G}$ over a global function field is one less than the sum of the local ranks ...
• #### An Identification Therorem for PSU6(2) and its Automorphism Groups ﻿

[OWP-2011-08] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-10)
We identify the groups PSU6(2), PSU6(2):2, PSU6(2):3 and Aut(PSU6(2)) from the structure of the centralizer of an element of order 3.
• #### An inductive approach to coxeter arrangements and solomon's descent algebra ﻿

[OWP-2011-16] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-17)
In our recent paper [3], we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional representations of centralizers, ...
• #### Infeasibility certificates for linear matrix inequalities ﻿

[OWP-2011-28] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-25)
Farkas' lemma is a fundamental result from linear programming providing linear certi cates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly ...
• #### Legendrian Knots in Lens Spaces ﻿

[OWP-2011-01] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
In this note, we first classify all topological torus knots lying on the Heegaard torus in Lens spaces, and then we classify Legendrian representatives of torus knots. We show that all Legendrian torus knots in universally ...
• #### Localized Endomorphisms of Graph Algebras ﻿

[OWP-2011-04] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-7)
Endomorphisms of graph $C^*$-algebras are investigated. A combinatorial approach to analysis of permutative endomorphisms is developed. Then invertibility criteria for localized endomorphisms are given. Furthermore, ...
• #### Monoid valuations and value ordered supervaluations ﻿

[OWP-2011-17] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
We complement two papers on supertropical valuation theory ([IKR1], [IKR2]) by providing natural examples of m-valuations (= monoid valuations), after that of supervaluations and transmissions between them. The supervaluations ...
• #### New representations of matroids and generalizations ﻿

[OWP-2011-18] (Mathematisches Forschungsinstitut Oberwolfach, 2011)
We extend the notion of matroid representations by matrices over fields by considering new representations of matroids by matrices over finite semirings, more precisely over the boolean and the superboolean semirings. This ...