Betti numbers of configuration spaces of surfaces

Drummond‐Cole Gabriel C.; Knudsen Ben

摘要

Abstract >We give explicit formulas for the Betti numbers, both stable and unstable, of the unordered configuration spaces of an arbitrary surface of finite type. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”> <title type =“main”>抽象</ title> >我们为betti号码提供显式公式，稳定和不稳定，有限类型任意表面的无序配置空间。</ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-31023/'>《The Journal of the London Mathematical Society》</a> <b style="margin: 0 2px;">|</b><span>2017年第2期</span><b style="margin: 0 2px;">|</b><span>共27页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Drummond‐Cole Gabriel C.&option=202" target="_blank" rel="nofollow">Drummond‐Cole Gabriel C.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Knudsen Ben&option=202" target="_blank" rel="nofollow">Knudsen Ben;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Center for Geometry and PhysicsInstitute for Basic Science (IBS)Pohang 37673 Republic of Korea;</p> <p>Department of MathematicsHarvard UniversityCambridge MA 02138 USA;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/156.html" title="数学">数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=55R80&option=203" rel="nofollow">55R80;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=57N65&option=203" rel="nofollow">57N65;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=17B56&option=203" rel="nofollow">17B56;</a> </p> <div class="translation"> 机译：55 0;Khovedkh;17; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704024866728.html">Betti numbers of configuration spaces of surfaces</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Drummond‐Cole Gabriel C.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Drummond‐Cole Gabriel C.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Knudsen Ben&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Knudsen Ben </a> <a href="/journal-foreign-31023/" target="_blank" rel="nofollow" class="tuijian_authcolor">The Journal of the London Mathematical Society .</a> <span>2017</span><span>,第2期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：Betti曲面的配置空间数</span> </p> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704022499093.html">Betti numbers and stability for configuration spaces via factorization homology</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ben Knudsen&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Ben Knudsen </a> <a href="/journal-foreign-18512/" target="_blank" rel="nofollow" class="tuijian_authcolor">Algebraic & geometric topology: ATG .</a> <span>2017</span><span>,第5期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：通过分解同源性配置空间的Betti数和稳定性</span> </p> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704026004689.html">Principal configurations around umbilics of spacelike surfaces in null hypersurfaces of R-1(4)</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Navarro Matias&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Navarro Matias,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Palmas Oscar&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Palmas Oscar,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Solis Didier A.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Solis Didier A. </a> <a href="/journal-foreign-36497/" target="_blank" rel="nofollow" class="tuijian_authcolor">Differential geometry and its applications .</a> <span>2019</span><span>,第期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：r-1的Null urceSurace围绕空间曲面脐带的主配置（4）</span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/academic-conference-foreign_meeting-210565_thesis/020514689250.html">Structured surface definition and grid generation for complex aerospace configurations</a> <b>[C]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Haeuser&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Haeuser,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=J.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">J. </a> <a href="/conference-foreign-210565/" target="_blank" rel="nofollow" class="tuijian_authcolor">In: AIAA Computational Fluid Dynamics Conference, 13th, Snowmass Village, CO, June 29-July 2, 1997, Collection of Technical Papers. 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