Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 230 for “"Cohomology"”.
-
Morita cohomology
… and compares different kinds of categorified cohomology of a locally contractible topological space X. Fix a commutative ring k of characteristic 0 and also denote by k the differential graded category with a single object and endomorphisms k. In the Morita model structure k is weakly …
-
Quasi-elliptic cohomology
We introduce and study quasi-elliptic cohomology, a theory related to Tate K-theory but built over the ring $\mathbb{Z}[q^{\pm}]$. In Chapter 2 we build an orbifold version of the theory, inspired by Devoto's equivariant Tate K-theory. In Chapter 3 we construct power operation in the orbifold …
-
First l²-Cohomology Groups
We want to take a look at the first cohomology group H^1(G, l^2(G)), in particular when G is locally-finite. First, though, we discuss some results about the space H^1(G, C G) for G locally-finite, as well as the space H^1(G, l^2(G)) when G is finitely generated. We show that, although in the case …
-
Cohomology Operations On Random Spaces
… of a random space, not much is known about how cohomology operations behave on random spaces. This dissertation proves some results about the asymptotic properties of cohomology operations on random spaces and discusses the idea of a random Bockstein operation in a related purely algebraic …
-
Reflexivity, elementary operators and cohomology
… of von Neumann algebras. We also consider two cohomology theories, the norm continuous cohomology and the normal cohomology on some nonselfadjoint algebras. Those algebras contain reflexive algebras whose invariant subspace lattices are tensor products of nests and reflexive algebras whose …
-
Finiteness conditions in group cohomology
In this thesis we investigate groups whose nth cohomology functors commute with filtered colimits for all sufficiently large n. In Chapter 1 we introduce some basic definitions and important background material. We make the definition that a group G has cohomology almost everywhere finitary if and …
-
Equivariant elliptic cohomology and rigidity
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1999.
-
Gauge-fixing and equivariant cohomology
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
-
The cohomology of weight varities
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1999.
-
Symplectic cohomology of contractible surfaces
… implies the non-vanishing of the symplectic cohomology of the Liouville manifolds associated to these surfaces, thus confirming a portion of McLeans conjecture that a smooth variety has vanishing symplectic cohomology if and only if it is affine ruled.
-
Schubert calculus in generalized cohomology
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1989.
-
Universal Localization and Group Cohomology
… infinite discrete group G, we investigate group cohomology and homology with coefficients in lp(G). We prove that if G is of type FPn, then all its homology and cohomology groups up to n are either zero or infinite dimensional. This generalizes one of the results obtained by Bekka and Valette
-
On the Quantum Cohomology of Fano Toric Manifolds and the Intersection Cohomology of Singular Symplectic Quotients
The second result computes the intersection cohomology of the singular symplectic reduced spaces. Let M be a closed symplectic manifold with a Hamiltonian S1-action defined on it and mu is the moment map. If 0 is a singular value of mu, the reduced space mu-1(0)/S1 is, in general, no longer an …
-
Spaces of homomorphisms and group cohomology
In this work we study the space of group homomorphisms Hom(Γ,G) from a geometric and simplicial point of view. The case in which the source group is a free abelian group of rank n is studied in more detail since this space can be identified with the space of commuting n-tuples of elements from G. …
-
Hochschild Cohomology of Short Gorenstein Rings
… 0. In this thesis, we show that the Hochschild cohomology of the family of short Gorenstein k-algebras </p><p>sGor(N) =k[X_0,...,X_N](X_iX_j, X_i^2−X_j^2 | i,j= 0,...,N, i different from j), N≥2,</p><p>exhibits exponential growth. The proof uses Gröbner-Shirshov basis theory and along the way we …
-
Hochschild Cohomology Of Short Gorenstein Rings
… 0. In this thesis, we show that the Hochschild cohomology of the family of short Gorenstein k-algebras </p><p>sGor(N) =k[X_0,...,X_N](X_iX_j, X_i^2−X_j^2 | i,j= 0,...,N, i different from j), N≥2,</p><p>exhibits exponential growth. The proof uses Gröbner-Shirshov basis theory and along the way we …
-
Homotopy Topoi and Equivariant Elliptic Cohomology
… elegant construction of the equivariant elliptic cohomology associated to an oriented elliptic curve A and a compact abelian Lie group G as an essential geometric morphism of homotopy topoi. It follows that our definition satisfies a conceptually simpler homotopy-theoretic analogue of the …
-
On Cohomology Theory for Lie Algebras
Made available in DSpace on 2014-12-05T21:49:58Z (GMT). No. of bitstreams: 1 0002734.pdf: 2068302 bytes, checksum: 7457c1195d87a4d1ef0fcfe565b2f83a (MD5) Previous issue date: 1951
-
Monoid Extensions, Relaxed Actions and Cohomology
… giving rise to an analogue of the second cohomology group. Finally, a connection is made to the setting of toposes, exploiting the link between toposes and frames.
-
Equivariant cohomology, homogeneous spaces and graphs
… the relationship between the equivariant cohomology of the manifold M and the fixed point data of the torus action. We are interested in understanding the topology of the space of T-orbits in M. In particular, we explore aspects of this topology which are determined by data from the image …
Page 1 of 12