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.

引用

页码：37 / 53

页数：17

共 14 条

[1] Lattice Points Inside Rational Simplices and the Casson Invariant of Brieskorn Spheres
Liviu I. Nicolaescu
Geometriae Dedicata, 2001, 88 : 37 - 53
[2] On the quantum invariant for the Brieskorn homology spheres
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[10] The convex hull of the lattice points inside a curve
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