Homotopy invariance of spectral invariants of topological hamiltonian flows and its Lagrangian analog

Homotopy invariance of spectral invariants of topological Hamiltonian flows

This paper is withdrawn from submission due to a critical error in the proof of main theorem.

Weighted hyperprojective spaces and homotopy invariance in orbifold cohomology

We show that Chen-Ruan cohomology is a homotopy invariant in certain cases. We introduce the notion of a T-representation homotopy, which is a stringent form of homotopy under which Chen-Ruan cohomology is invariant. We show that while hyperkahler quotients of the cotangent bundle to a complex vector space by a circle S^1 (here termed weighted hyperprojective spaces) are homotopy equivalent to weighted projective spaces, they are not S^1-representation homotopic. Indeed, we show that their Chen-Ruan cohomology rings (over the rationals) are distinct.

通过参数化不动点理论探讨同伦不变性的障碍

Obstructions to homotopy invariance of loop coproduct via parametrised fixed-point theory

本文通过参数化不动点理论探讨同伦不变性的障碍，定义Reidemeister迹并表征谱余乘积的失败，揭示简单同伦等价下谱余乘积的一致性。