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    学术报告

    2015-11-09 数学中心 点击:[]




    报告人:  刘毅       北京大学国际数学中心( BICM


    时间: 1110,下午4:00---5:00


    地点: 交大犀浦校区X2511


    TitleDegree of $L^2$-Alexander torsion for 3-manifolds


    AbstractFor an irreducible orientable compact $3$-manifold $N$ with empty or incompressible toral boundary, the full $L^2$--Alexander torsion $\tau^{(2)}(N,\phi)(t)$ associated to any real first cohomology class $\phi$ of $N$ is represented by a function of a positive real variable $t$. In this talk, I will show that $\tau^{(2)}(N,\phi)$ is continuous, everywhere positive, and asymptotically monomial in both ends. Moreover, the degree of $\tau^{(2)}(N,\phi)$ equals the Thurston norm of $\phi$.




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