论文标题
同源球的Rohlin不变和Z/2值不变的
The Rohlin invariant and Z/2-valued invariants of homology spheres
论文作者
论文摘要
在本文中,我们证明罗林不变是在托雷利(Torelli)群体上引起同构形态的独特不变性。使用此结果,我们将Pitsch给出的Torelli组的Torelli组的琐碎的2 cocycles家族构建$ 3 $ -SPHERES,包括在Abelian Group上具有价值为$ 2 $ $ 2的不变性。
In this paper we prove that the Rohlin invariant is the unique invariant inducing a homomorphism on the Torelli group. Using this result we generalize the construction of invariants of homology $3$-spheres from families of trivial 2-cocycles on the Torelli group given by Pitsch to include invariants with values on an abelian group with $2$-torsion.