Titlebook: Advances in Topological Quantum Field Theory; Proceedings of the N John M. Bryden Conference proceedings 2004 Springer Science+Business Med

Obvious

Applications to Modeling Bivariate Extremes,provide a method of analyzing mappings between closed orientable 3-manifolds. In particular, an obstruction to the existence of nonzero degree maps is developed – a part of joint work with S. Boyer and B. Wiest [1]. We also discuss numerous examples to which the obstruction applies..Keywords: 3-manifolds, degree of mappings, ordered groups

AND

Conditionals in Exponential Families,of symplectic circle actions on closed symplectic manifolds. This result can be considered in a more general context of characterizing homotopic properties of symplectic Lie group actions..Keywords: Symplectic circle action, Massey product

笨拙的我

myriad

雪崩

On the Homology of Spaces of Long Knots,ots in R., . 3) was described in terms of the Hochschild homology of the Poisson algebras operad for . odd, and of the Gerstenhaber algebras operad for . even. In particular, the bialgebra of chord diagrams arises as some subspace of this homology. The homology in question is the space of characteri

斜坡

Some Computations of Ohtsuki Series,–strand knots’, closures of the simplest rational tangles. This data allows us to make certain conjectures about the growth rate of the coefficients in Ohtsuki series generally, based on which we introduce an invariant which we call the .(.) of a manifold . (not to be confused with slopes in hyperbo

Spinal-Fusion

From 3-moves to Lagrangian Tangles and Cubic Skein Modules,roblems in classical Knot Theory and we develop techniques that allow us to study them: Lagrangian tangles, skein modules and Burnside groups. The method of Burnside groups of links was discovered and developed only half a year after the last talk was delivered in Kananaskis2..Keywords: knot, 3-move

NOTCH

On Spin and Complex Spin Borromean Surgeries,o refinements, spin and complex spin. We define two invariants of spin and complex spin 3-manifolds and we show that two spin 3-manifolds are related by a finite sequence of spin Borromean surgeries if and only if they have the same invariant. We show that the corresponding statement for complex spi

中古

Khovanov Homology: Torsion and Thickness,n .3 has a non-trivial torsion part. We give a size restriction on the Khovanov homology of almost alternating links. We relate the Khovanov homology of the connected sum of a link diagram with the Hopf link to the Khovanov homology of the diagram via a short exact sequence of homology and prove tha

Hiatal-Hernia

,Perturbative Quantum Field Theory and L∞-algebras,nd Hopf algebra approach to renormalization are exploited. It is proved that the algebra of graphs with Kontsevich graph homology differential and Kreimer’s coproduct is a DG-coalgebra. The weights of the corresponding expansions are proved to be cycles of the DGcoalgebra of Feynman graphs, leading