Zhixu Su

activity

20102022

most citedOn dimensions supporting a rational projective plane

9 citations · 10 across the 3 of their papers we have counts for

collaborators

4 papers

math.GT2022

Almost complex manifold with Betti number $b_{i} = 0$ except $i = 0, n /2, n$

Zhixu Su

This paper studies existence of $n = 4 k (k > 1)$ dimensional simply-connected closed almost complex manifold with Betti number $b_{i} = 0$ except $i = 0, n /2, n$ . We characterize all the ra…

math.GT2017★ 9 cited

On dimensions supporting a rational projective plane

Lee Kennard, Zhixu Su

A rational projective plane ( $QP^{2}$ ) is a simply connected, smooth, closed manifold $M$ such that $H^{*} (M; Q) ≅ Q [α] / ⟨ α^{3} ⟩$ . An open prob…

math.GT2014★ 1 cited

Smooth manifolds with prescribed rational cohomology ring

Jim Fowler, Zhixu Su

The Hirzebruch signature formula provides an obstruction to the following realization question: given a rational Poincaré duality algebra $A$ , does there exist a smooth m…

math.GT2010

Rational analogs of projective planes

Zhixu Su

In this paper, we study the existence of high-dimensional, closed, smooth manifolds whose rational homotopy type resembles that of a projective plane. Applying rational surgery, th…

Almost complex manifold with Betti number bi​=0 except i=0,n/2,n

On dimensions supporting a rational projective plane

Smooth manifolds with prescribed rational cohomology ring

Rational analogs of projective planes

Almost complex manifold with Betti number $b_{i} = 0$ except $i = 0, n /2, n$