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,
$${\mathcal{A}_{\mathfrak{n}}(a,b,c)}$$ , $${\mathcal{B}_{\mathfrak{n}}}$$ and
$${\mathcal{C}_{\mathfrak{n}}}$$ , that are close to the braid algebra. They
allow to build solutions to the Yang-Baxter equation with spectral parameters.
The construction is based... 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.
Meixner Class of Non-commutative Generalized Stochastic Processes with Freely Independent Values II. The Generating FunctionSpringer Science and Business Media LLC - Tập 302 - Trang 425-451 - 2010
Marek Bożejko, Eugene Lytvynov
Let T be an underlying space with a non-atomic measure σ on it. In [Comm. Math.
Phys. 292, 99–129 (2009)] the Meixner class of non-commutative generalized
stochastic processes with freely independent values, $${\omega=(\omega(t))_{t\in
T}}$$ , was characterized through the continuity of the corresponding orthogonal
polynomials. In this paper, we derive a generating function for these orthogonal
po... hiện toàn bộ