OnL 2-homology and asphericity

Springer Science and Business Media LLC - Tập 99 - Trang 271-283 - 1997
Jonathan A. Hillman1
1School of Mathematics and Statistics, The University of Sydney, Sydney, Australia

Tóm tắt

We useL 2 methods to show that if a group with a presentation of deficiency one is an extension ofZ by a finitely generated normal subgroup then the 2-complex corresponding to any presentation of optimal deficiency is aspherical and to prove a converse of the Cheeger-Gromov-Gottlieb theorem relating Euler characteristic and asphericity. These results are applied to the Whitehead conjecture, 4-manifolds and 2-knot groups.

Tài liệu tham khảo

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