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Now showing items 1-10 of 21

#### Homology Manifold Bordism

(American Mathematical Society, 1999)

The Bryant-Ferry-Mio-Weinberger surgery exact sequence for high-dimensional compact ANR homology manifolds is used to obtain transversality, splitting and bordism results for homology manifolds, generalizing previous work ...

#### C. T. C. Wall's contributions to the topology of manifolds

(Princeton, 2000)

C. T. C. Wall spent the first half of his career, roughly from 1959 to
1977, working in topology and related areas of algebra. In this period, he
produced more than 90 research papers and two books. Above all, Wall was ...

#### The structure set of an arbitrary space, the algebraic surgery exact sequence and the total surgery obstruction

(Notes of lecture given at the Summer School on High-dimensional Manifold Topology, ICTP Trieste, May-June 2001. To appear in Vol. 1 of the Proceedings, 2001-11-30)

The algebraic theory of surgery gives a necessary and suffcient chain level condition
for a space with n-dimensional Poincare duality to be homotopy equivalent to an n-
dimensional topological manifold. A relative version ...

#### NONCOMMUTATIVE LOCALIZATION AND CHAIN COMPLEXES I. ALGEBRAIC K- AND L-THEORY

(2001-09-18)

The noncommutative (Cohn) localization (sigma)^−1 R of a ring R is defined
for any collection (sigma) of morphisms of f.g. projective left R-modules. We exhibit (sigma)^−1 R
as the endomorphism ring of R in an appropriate ...

#### REPRESENTATIONS OF ALGEBRAS AS UNIVERSAL LOCALIZATIONS

(to appear in the Mathematical Proceedings of the Cambridge Philosophical Society, 2002-05-03)

Given a presentation of a finitely presented group, there is a natural way to
represent the group as the fundamental group of a 2-complex. The first part
of this paper demonstrates one possible way to represent a finitely ...

#### Generalized Arf invariants in algebraic L-theory

(2003-04-23)

The difference between the quadratic L-groups L.(A) and the sym-
metric L-groups L*(A) of a ring with involution A is detected by generalized Arf
invariants. The special case A = Z[x] gives a complete set of invariants ...

#### ALGEBRAIC AND COMBINATORIAL CODIMENSION 1 TRANSVERSALITY

(Submitted to the Proceedings of the Cassonfest (Austin, Texas, May 2003), 2003-08-12)

The Waldhausen construction of Mayer-Vietoris splittings for chain
complexes over an injective generalized free product is extended to Seifert-van
Kampen splittings for CW complexes with fundamental group an injective
...

#### A SURVEY OF WALL'S FINITENESS OBSTRUCTION

(http://arxiv.org/abs/math.AT/0008070,, 2000)

Wall's finiteness obstruction is an algebraic K-theory invariant which
decides if a finitely dominated space is homotopy equivalent to a finite
CW complex. The invariant was originally formulated in the context of
surgery ...

#### ON THE CALCULATION OF UNIL

(2003-04-02)

Cappell’s codimension 1 splitting obstruction surgery group
UNiln is a direct summand of the Wall surgery obstruction group of an
amalgamated free product. For any ring with involution R we use the
quadratic Poincar´e ...

#### THE ALGEBRAIC CONSTRUCTION OF THE NOVIKOV COMPLEX OF A CIRCLE-VALUED MORSE FUNCTION

(Springer-Verlag, 2001-06-29)

The Novikov complex of a circle-valued Morse function f : M ! S
is constructed algebraically from the Morse-Smale complex of the restriction of the
real-valued Morse function f : M ! R to a fundamental domain of the ...