Morse–Bott split symplectic homology
نویسندگان
چکیده
منابع مشابه
Symplectic Homology as Hochschild Homology
In the wake of Donaldson’s pioneering work [6], Picard-Lefschetz theory has been extended from its original context in algebraic geometry to (a very large class of) symplectic manifolds. Informally speaking, one can view the theory as analogous to Kirby calculus: one of its basic insights is that one can give a (non-unique) presentation of a symplectic manifold, in terms of a symplectic hypersu...
متن کاملRabinowitz Floer Homology and Symplectic Homology
The first two authors have recently defined RabinowitzFloer homology groups RFH∗(M,W ) associated to an exact embedding of a contact manifold (M, ξ) into a symplectic manifold (W,ω). These depend only on the bounded component V of W \ M . We construct a long exact sequence in which symplectic cohomology of V maps to symplectic homology of V , which in turn maps to Rabinowitz-Floer homology RFH∗...
متن کاملLefschetz Fibrations and Symplectic Homology
We show that for each k > 3 there are infinitely many finite type Stein manifolds diffeomorphic to Euclidean space R which, as symplectic manifolds are pairwise not symplectomorphic to each other.
متن کاملThe split integration symplectic method.
r 0 H H H + = where 0 H is the pure harmonic part and r H is the remaining part. This splitting, incorporated in the second order generalized leapfrog scheme, gives the following approximation for the solution operator of the Hamiltonian system ( ) ( ) ( ) 0 0 r 0 0 t H 2 t H H 2 t t t | x L exp L t exp L exp | x r r ∆ ∆ ∆ + ∆ ≈ which prescribes how to propagate from one point in the phase spac...
متن کاملSymplectic Homology and Periodic Orbits near Symplectic Submanifolds
We show that a small neighborhood of a closed symplectic submanifold in a geometrically bounded aspherical symplectic manifold has nonvanishing symplectic homology. As a consequence, we establish the existence of contractible closed characteristics on any thickening of the boundary of the neighborhood. When applied to twisted geodesic flows on compact symplectically aspherical manifolds, this i...
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 Fixed Point Theory and Applications
سال: 2019
ISSN: 1661-7738,1661-7746
DOI: 10.1007/s11784-019-0714-y