The Gysin sequence for quantum lens spaces
نویسندگان
چکیده
منابع مشابه
The Gysin Sequence and the Hopf Invariant
This paper will establish that there are only four sphere bundles over spheres that are in turn spheres. The first sections consist of introductions to fiber bundles, the basics of cohomology, and the Hopf invariant, while the rest of the paper establishes the Gysin sequence and uses it to prove the final theorem. Some prior knowledge of basic homotopy theory, homology, and CW complexes is assu...
متن کاملThe Gysin exact sequence for S-equivariant symplectic homology
We define S1-equivariant symplectic homology for symplectically aspherical manifolds with contact boundary, using a Floer-type construction first proposed by Viterbo. We show that it is related to the usual symplectic homology by a Gysin exact sequence. As an important ingredient of the proof, we define a parametrized version of symplectic homology, corresponding to families of Hamiltonian func...
متن کاملThe Gysin Sequence for S-actions on Stratified Pseudomanifolds
For any stratified pseudomanifold X and any action of the unit circle S on X preserving the stratification and the local structure; the orbit space X/S is also a stratified pseudomanifold. For each perversity q in X the orbit map π : X → X/S induces a Gysin sequence relating the q-intersection cohomologies of X and X/S. The third term of this sequence can be given by means of a spectral sequenc...
متن کاملQuantum Lens Spaces and Graph Algebras
We construct the C∗-algebra C(Lq(p;m1, . . . ,mn)) of continuous functions on the quantum lens space as the fixed point algebra for a suitable action of Zp on the algebra C(S2n−1 q ), corresponding to the quantum odd dimensional sphere. We show that C(Lq(p;m1, . . . ,mn)) is isomorphic to the graph algebra C∗ ( L (p;m1,...,mn) 2n−1 ) . This allows us to determine the ideal structure and, at lea...
متن کاملTopological Invariants for Lens Spaces and Exceptional Quantum Groups
A pressing problem in the field of ‘quantum topology’ [1][2] is to understand the topological information embodied in the quantum invariants of 3-manifolds[3] [5] constructed in recent years, and to use the information to settle geometric questions. A direct way to tackle the problem is to compute these invariants for 3-manifolds of interest, then try to extract topological information from the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Noncommutative Geometry
سال: 2015
ISSN: 1661-6952
DOI: 10.4171/jncg/216