Symplectic fixed points and holomorphic spheresSpringer Science and Business Media LLC - Tập 120 - Trang 575-611 - 1989
Andreas Floer
LetP be a symplectic manifold whose symplectic form, integrated over the spheres inP, is proportional to its first Chern class. On the loop space ofP, we consider the variational theory of the symplectic action function perturbed by a Hamiltonian term. In particular, we associate to each isolated invariant set of its gradient flow an Abelian group with a cyclic grading. It is shown to have propert...... hiện toàn bộ
Back to BaxterisationSpringer Science and Business Media LLC - Tập 365 - Trang 1079-1090 - 2019
N. Crampe, E. Ragoucy, M. Vanicat
In the continuity of our previous paper (Crampe et al. in Commun Math Phys 349:271, 2017,
arXiv:1509.05516
), we define three new algebras,
$${\mathcal{A}_{\mathfrak{n}}(a,b,c)}$$
,
...... hiện toàn bộ
Quantum n-Vector Anharmonic Crystal I: 1/n-ExpansionSpringer Science and Business Media LLC - Tập 205 - Trang 81-95 - 1999
N. Angelescu, A. Verbeure, V. A. Zagrebnov
We consider the finite-volume quantum n-vector anharmonic crystal in the large n limit and compute corrections to the corresponding Hartree–Fock system. In particular we prove the complete 1/n-asymptotic series of the free energy, the Gibbs canonical state, and the distributions of the displacement and squared displacement fluctuation operators.