The Symplectic Thom Conjecture
نویسندگان
چکیده
منابع مشابه
The Symplectic Thom Conjecture
In this paper, we demonstrate a relation among Seiberg-Witten invariants which arises from embedded surfaces in four-manifolds whose self-intersection number is negative. These relations, together with Taubes’ basic theorems on the Seiberg-Witten invariants of symplectic manifolds, are then used to prove the Symplectic Thom Conjecture: a symplectic surface in a symplectic four-manifold is genus...
متن کاملThe symplectic Thom conjecture
In this paper, we demonstrate a relation among Seiberg-Witten invariants which arises from embedded surfaces in four-manifolds whose self-intersection number is negative. These relations, together with Taubes’ basic theorems on the Seiberg-Witten invariants of symplectic manifolds, are then used to prove the symplectic Thom conjecture: a symplectic surface in a symplectic fourmanifold is genus-...
متن کاملsymplectic hodge theory, harmonicity, and thom duality
we study the notion of harmonicity in the sense of symplectic geometry, and investigate the geometric properties of harmonic thom forms and distributional thom currents, dual to different types of submanifolds. we show that the harmonic thom form associated to a symplectic submanifold is nowhere vanishing. we also construct symplectic smoothing operators which preserve the harmonicity of distri...
متن کاملProof of the gradient conjecture of R . Thom
Let x(t) be a trajectory of the gradient of a real analytic function and suppose that x0 is a limit point of x(t). We prove the gradient conjecture of R. Thom which states that the secants of x(t) at x0 have a limit. Actually we show a stronger statement: the radial projection of x(t) from x0 onto the unit sphere has finite length.
متن کاملSymplectic S-cobodism Conjecture -summary
x0 h and S Cobordism Theorems-review-In this article the author would like to propose a natural generalization of celebrated h and S coboridism theorems to loop space. We will explain some part of the idea of the proof of an (easier) half of it, and also a nite dimensional analogue of the conjecture which can be proved under some additional assumptions. The detailed proof of them will appear el...
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: The Annals of Mathematics
سال: 2000
ISSN: 0003-486X
DOI: 10.2307/121113