標(biāo)題：Comparing genera, Bridge-1 genera and Heegaard genera of knots
報(bào)告時(shí)間：2025年10月13日（星期一）13：30-14：30
報(bào)告地點(diǎn)：線(xiàn)上騰訊會(huì)議（會(huì)議ID：514775409，會(huì)議密碼：1013）
主講人：鄒燕清
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
Let h(K), g_H(K), g_1(K), t(K) be the h-genus, Heegaard genus, bridge-1 genus, tunnel number of a knot K in the 3-sphere S^3, respectively. It is known that g_H(K)-1=t(K)≤ g_1(K)≤ h(K)≤ g_H(K). A natural question arises: when do these invariants become equal?
We provide the necessary and sufficient conditions for equality and use these to show that for each integer n≥ 1, the following three families of knots are infinite:
A_{n}={K| t(K)=n<g_1(K)}, B_{n}={K| g_1(K)=n<h(K)}, C_{n}={K| h(K)=n<g_H(K)}.
This is a joint work with Ruifeng Qiu and Chao Wang.
主講人簡(jiǎn)介：
鄒燕清，博士畢業(yè)于大連理工大學(xué)數(shù)學(xué)科學(xué)學(xué)院，現(xiàn)為華東師范大學(xué)研究員。主要研究方向?yàn)槿S流形理論研究，已在J. Topol等期刊上發(fā)表論文20余篇，目前主持國(guó)家基金面上項(xiàng)目等項(xiàng)目。
