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Hom-configurations and noncrossing partitions
Cluster combinatorics derived category exceptional sequences Homconfigurations
2011/1/18
We study maximal Hom-free sets in the [2]-orbit category C(Q) of the bounded derived category for the path algebra associated to a Dynkin quiver Q, where denotes the Auslander-Reiten translation an...
In this brief note we consider some bases in the Hecke algebra and exhibit certain dualities between them. Our results and arguments are completely combinatorial.However, to explain the motivation and...
The standard formulation of gauge theories results from the Lagrangian (functional integral) quantization of classical gauge theories. A more in-trinsic qunantum theoretical access in the spirit of Wi...
Symmetries and adjunction inequalities for knot Floer homology
Symmetries adjunction inequalities knot Floer homology
2011/1/21
We derive symmetries and adjunction inequalities of the knot Floer homology groups which appear to be especially interesting for homologically essential knots.
A finite word w is an abelian square if w = xx′ with x′ a permutation of x. In 1972,
Entringer, Jackson, and Schatz proved that every binary word of length k2+6k contains an abelian square of length ...
A Package of Programs for Determination of Some Classes of Subgroupoids
groupoid disjoint unions of groupoids subgroupoid
2011/1/17
In this paper we give three programs on computer for finding the subgroupoids, wide subgroupoids and normal subgroupoids of a finite groupoid.Applying these programs for groups, we can determine all s...
We study computably enumerable equivalence relations (ceers) on N and unravel a rich structural theory for a strong notion of reducibility among ceers.
Reconstruction of complete interval tournaments. II
score sequences tournaments efficiency of algorithms
2011/2/23
Let a, b (b ≥ a) and n (n ≥ 2) be nonnegative integers and let T (a, b, n) be the set of such generalised tournaments, in which every pair of distinct players is connected at most with b, and at least...
Good tilting modules and recollements of derived module categories
Commutative algebras Coproducts Derived categories p-adic numbers Recollements Ring epimorphisms Tilting
2011/1/20
Let T be an infinitely generated tilting module of projective dimension at most one over an arbitrary associative ring A, and let B be the endomorphism ring of T.
Inductions and restrictions for stable equivalences of Morita type
Admissible sets derived equivalences self-injective algebras stable equivalences
2011/1/20
In this paper, we present two methods, induction and restriction procedures, to construct new stable equivalences of Morita type.
A profile decomposition approach to the $L^\infty_t(L^3_x)$ Navier-Stokes regularity criterion
$L^\infty_t(L^3_x)$ Navier-Stokes regularity criterion
2011/1/17
In this paper we continue to develop an alternative viewpoint on recent studies of Navier-Stokes regularity in critical spaces, a program which was started in the recent work [13] by C.
Kenig and the...
Model theoretic internality provides conditions under which the group of automorphisms of a model over a reduct is itself a definable group. In this paper we formulate a categorical analogue of the co...
We extend the descent theory of Colliot-Th´el`ene and Sansuc to arbi-trary smooth algebraic varieties by removing the condition that every invertible regular function is constant. This links the...
The Feynman checkerboard problem is an interesting path integral approach to the Dirac equation in ‘1+1’ dimensions. I compare two approaches reported in the literature and show how they may be reconc...
Comparison results for capacity
capacity equilibrium potential hiperbolicity mean curvature
2011/1/17
We obtain in this paper bounds for the capacity of a compact set K with smooth boundary. If K is contained in an (n + 1)-dimensional Cartan-Hadamard manifold and the principal curvatures of @K are lar...