Showing papers in "Topology in 1997"

TL;DR: Topological cyclic homology of W (k)-algebras is studied in this paper, where the topological Hochschild spectrum is represented by pointed monoids.

TL;DR: The operational Chow cohomology classes of a complete toric variety are identified with certain functions, called Minkowski weights, on the corresponding fan as discussed by the authors, and the natural product of these functions makes the Minkowowski weights into a commutative ring; the product is computed by a displacement in the lattice, which corresponds to a deformation in the toric manifold.

TL;DR: In this paper, the authors considered the subgroup of the automorphism group of the free group generated by the braid group and the permutation group, which is represented by generalised braids (braids in which some crossings are allowed to be "welded").

TL;DR: In this article, it was shown that topologically isotopic Legendrian knots with equal Bennequin and Maslov numbers are not diffeomorphic to the standard contact structure in R3.

TL;DR: In this paper, the residue formula for the Riemann-Roch number RR(Lred) of the induced line bundle Lred on a compact symplectic manifold was shown to be equivalent to the conjecture of Guillemin and Sternberg.

TL;DR: Bar-Natan and Garoufalidis as mentioned in this paper gave a formula for the weight system of sl 2 and described some properties of the weight systems of an arbitrary simple Lie algebra.

TL;DR: In this article, it was shown that the set of closed orbits of any flow transverse to the fibration of the figure-eight knot complement in S3 contains representatives of every (tame) knot and link isotopy class.

TL;DR: In this paper, it was shown that K(2)∗BP has odd elements, where P is the 3-Sylow subgroup of GL4(Z/3).

TL;DR: In this paper, the authors discuss commensurability of non-hyperbolic 3-manifolds with geometric structure and define several multiplicative invariants for prime 3-mansifolds.

TL;DR: In this article, a fundamental duality between algebraic cycles and algebraic cocycles on a smooth projective variety was established using a new Chow moving lemma for families.

TL;DR: Brown and Adams as discussed by the authors proved that any homological functor H:Tcop → Ab is the restriction of a representable functor on Tc ⊂ T the full sub-category of finite spectra.

TL;DR: In this paper, the authors generalize Milnor's μ-invariants (which were originally defined for trivial classical links in R 3 ) to (a corresponding large class of) link maps in arbitrary higher dimensions.

TL;DR: In this article, a signature formula for compact 4 k-manifolds with corners of codimension two is presented, which generalizes the signature formula of Atiyah et al. for manifolds with boundary.

TL;DR: In this paper, the authors used the Casson-Walker invariant of three-manifolds to define a Vassiliev invariant for two-component links, which is shown to have a simple combinatorial definition, making it easy to compute.

TL;DR: In this article, the authors obtained lower bounds for the topological entropy of transitive self-maps of trees, depending on the number of endpoints and on the edges of the tree.

TL;DR: In this paper, the authors extend the Hofer norm to the group of symplectic diffeomorphisms of a manifold, and prove that the subgroup of the symplectomorphisms which are isotopic to the identity and whose norms r α remain bounded when α → ∞ coincide with a group of Hamiltonians is a special case.

TL;DR: In this article, it was shown that a surface has finite total curvature if ( ∫ |K|dA < ∞) and the surface is conformally diffeomorphic to a finitely punctured closed Riemann surface.

TL;DR: It is proved that the class of tree maps which exhibit this pattern admits a canonical representative, that is a tree and a continuous map on this tree, which satisfies several minimality properties.

TL;DR: A functor from spectra to E∗-modules is defined, which gives a framework in which to encode information about power operations in the extended-power spectrum DS.