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Universal L^2-torsion detects fibered 3-manifolds

来源: 11-29

时间:Wed., 10:00-11:30 am, Nov. 28, 2025

地点:Ningzhai (宁斋) 203

组织者:G2T2 Group

主讲人:Jianru Duan

G2T2 Seminar

Organizer

G2T2 Group

Speaker:

Jianru Duan 段剑儒 (Peking University)

Time:

Wed., 10:00-11:30 am, Nov. 28, 2025

Venue:

Ningzhai (宁斋) 203

Title:

Universal L^2-torsion detects fibered 3-manifolds

Abstract:

It is well-known that the Alexander polynomial of a fibered knot must be monic. But in general the converse is not true. In this talk, we introduce the universal L^2-torsion of a 3-manifold, an invariant defined in analogy with the classical torsion, but using tools from L^2-theory. We will show that this invariant detects fibered 3-manifolds. Moreover, we extend the definition of the universal L^2-torsion to taut sutured 3-manifolds and show that it detects product sutured manifolds.

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