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KCI등재
학술저널
TWO EXAMPLES OF LEFSCHETZ FIXED POINT FORMULA WITH RESPECT TO SOME BOUNDARY CONDITIONS
TWO EXAMPLES OF LEFSCHETZ FIXED POINT FORMULA WITH RESPECT TO SOME BOUNDARY CONDITIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 37, No. 1
- 2024.02
- 1 - 17 (17 pages)
DOI : 10.14403/jcms.2024.37.1.1
The boundary conditions e P0 and e P1 were introduced in [5] by using the Hodge decomposition on the de Rham complex. In [6] the Atiyah-Bott-Lefschetz type fixed point formulas were proved on a compact Riemannian manifold with boundary for some special type of smooth functions by using these two boundary conditions. In this paper we slightly extend the result of [6] and give two examples showing these fixed point theorems.
1. Introduction
2. The boundary conditions [P₀, P₁] and de Rham complex
3. Examples of Lefschetz fixed point formula on the complex
References