تقرير
Is the geography of Heegaard Floer homology restricted or the $L$-space conjecture false?
| العنوان: | Is the geography of Heegaard Floer homology restricted or the $L$-space conjecture false? |
|---|---|
| المؤلفون: | Alfieri, Antonio, Binns, Fraser |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, 57K31 |
| الوصف: | In a recent note F. Lin showed that if a rational homology sphere $Y$ admits a taut foliation then the Heegaard Floer module $HF^-(Y)$ contains a copy of $\mathbf{F}[U]/U$ as a summand (arXiv:2309.01222). This implies that either the $L$-space conjecture is false or that Heegaard Floer homology satisfies a geography restriction. We verify that Lin's geography restriction holds for a wide class of rational homology spheres. Indeed, we show that the Heegaard Floer module $HF^-(Y)$ may satisfy a stronger geography restriction. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.00490 |
| رقم الأكسشن: | edsarx.2404.00490 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |