This paper outlines the construction of invariants of Hamiltonian group actions on symplectic
manifolds. The invariants are derived from the solutions of a nonlinear first order elliptic …

The whole field as it exists now was initiated by SP Novikov. He was motivated by his joint
work with I. Schmeltser about applications of the variational methods to the Kirchhof …

Bibliography Page 1 Bibliography [1] MF Atiyah, R. Bott: A Lefschetz fixed point formula for
elliptic complexes II. Applications, Ann. of Math. 88 (1968), 451–491. [2] MF Atiyah, VK Patodi …

For a transversal pair of closed Lagrangian submanifolds L, L′ of a symplectic manifold M
such that π_1(L)=π_1(L^′)=0=c_1|_π_2(M)=ω|_pi_2(M) and for a generic almost complex …

Let X be a closed oriented Riemannian manifold with χ (X)= 0 and b1 (X)> 0, and let φ: X→ S
1 be a circle-valued Morse function. Under some mild assumptions on φ, we prove a formula …

In two previous papers with Yi-Jen Lee, we de® ned and computed a notion of Reidemeister
torsion for the Morse theory of closed 1-forms on a® nite dimensional manifold. The present …

Let N be a closed smooth manifold. In accordance with conjectures of Arnol d and
Eliashberg, the symplectic topology of the cotangent bundle T∗ N is expected to be deeply …

Abstract Various Seiberg–Witten–Floer cohomologies are defined for a closed, oriented
three-manifold; and if it is the mapping torus of an areapreserving surface automorphism, it …

The Seiberg-Witten invariant of a closed connected oriented 3-manifold M is an integer-
valued function SW= SW (M) on the set of Spinc-structures S (M) on M. This function is …

A long-standing and almost folkloric conjecture is that the primes contain arbitrarily long
arithmetic progressions. Until recently, the only prog-ress on this conjecture was due to van …