Lattice points inside rational simplices and the Casson invariant of Brieskorn spheres

被引：3
|
作者：
Nicolaescu, LI [1 ]
机构：
[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
来源：
GEOMETRIAE DEDICATA | 2001年 / 88卷 / 1-3期
关键词：
Seiburg-Witten-Floer homology; Casson invariant; Brieskorn spheres; lattice points; Dedekind sums;
D O I：
10.1023/A:1013118318760
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We express the number of lattice points inside certain simplices with vertices in Q(3) or Q(4) in terms of Dedekind-Rademacher sums. This leads to an elementary proof of a formula relating the Euler characteristic of the Seiberg-Witten-Floer homology of a Brieskorn Z-homology sphere to the Casson invariant.
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页码：37 / 53
页数：17
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