Topological rigidity of Hamiltonian loops and quantum homology
✍ Scribed by François Lalonde; Dusa McDuff; Leonid Polterovich
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 160 KB
- Volume
- 135
- Category
- Article
- ISSN
- 0020-9910
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We introduce a two‐body quantum Hamiltonian model with spins‐${1 \over 2}$ located on the vertices of a 2D spatial lattice. The model exhibits an exact topological degeneracy in all coupling regimes. This is a remarkable non‐perturbative effect. The model has a **Z**~2~× **Z**~2~ gauge
Let I be an ideal of a commutative ring A and B = A/Z. Given n 2 2, we characterize the vanishing of the Andrk-Quillen homology modules r-I,(A, B, W) for all B-modules W and for all p, 2 5 p 5 n, in terms of some canonical morphisms. As a corollary, we obtain a new proof of a theorem of And6 Finally