{"id":23,"date":"2023-08-27T08:23:22","date_gmt":"2023-08-27T08:23:22","guid":{"rendered":"https:\/\/amandahirschi.com\/?page_id=23"},"modified":"2026-05-27T09:42:25","modified_gmt":"2026-05-27T09:42:25","slug":"research","status":"publish","type":"page","link":"https:\/\/amandahirschi.com\/?page_id=23","title":{"rendered":"Research"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\">Preprints<\/h4>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong><a href=\"https:\/\/arxiv.org\/pdf\/2605.27122\">Open Gromov-Witten invariants in genus zero and Lagrangian cobordisms<br><\/a><\/strong><em>with Kai Hugtenburg<\/em><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><a href=\"https:\/\/arxiv.org\/pdf\/2501.04687\"><strong>Open-closed Deligne-Mumford <\/strong><\/a><strong><a href=\"https:\/\/arxiv.org\/pdf\/2605.03521\">field<\/a><\/strong><a href=\"https:\/\/arxiv.org\/pdf\/2501.04687\"><strong> theories: construction<\/strong><\/a><br><em>with Kai Hugtenbur<\/em>g, submitted<\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><a href=\"https:\/\/arxiv.org\/pdf\/2501.04687\"><strong>Open-closed Deligne-Mumford field theories: geometric foundations<\/strong><\/a><br><em>with Kai Hugtenbur<\/em>g, submitted<\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong><a href=\"https:\/\/arxiv.org\/abs\/2511.01821\">A contact homotopy type<\/a><\/strong><br><em>with Soham Chanda<\/em>, submitted<\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><a href=\"https:\/\/arxiv.org\/abs\/2309.07041\"><strong>On Donaldson&#8217;s 4-6 question<\/strong> <\/a><br><em>with Luya Wang<\/em>, <em>accepted at Geometry &amp; Topology<\/em><br><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h4 class=\"wp-block-heading\" style=\"margin-top:var(--wp--preset--spacing--20);margin-bottom:var(--wp--preset--spacing--20)\">Articles<\/h4>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><a href=\"https:\/\/ahl.centre-mersenne.org\/articles\/10.5802\/ahl.249\/\"><strong>Properties of Gromov-Witten invariants defined via global Kuranishi charts <\/strong><br><\/a><em>Annales Henri Lebesgue<\/em>, Vol 8, (2025) <a href=\"https:\/\/arxiv.org\/abs\/2312.03625\">arXiv<\/a><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong><a href=\"https:\/\/intlpress.com\/JDetail\/1942297922144092162\">Lagrangian intersections and cuplength in generalised cohomology<\/a><\/strong><br>with Noah Porcelli<br><em>Mathematical Research Letters<\/em>, Vol. 32, Issue 1 (2025), <a href=\"https:\/\/arxiv.org\/abs\/2211.07559\">arXiv<\/a>&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-left has-small-font-size wp-block-paragraph\" style=\"padding-top:var(--wp--preset--spacing--20);padding-right:0;padding-bottom:var(--wp--preset--spacing--20);padding-left:0\"><strong><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11784-024-01137-4\" data-type=\"link\" data-id=\"https:\/\/arxiv.org\/abs\/2307.06934\">Infinitely many monotone Lagrangian tori in higher projective spaces<\/a><\/strong> <br>with Soham Chanda and Luya Wang <br><em>J. Fixed Point Theory Appl.&nbsp;<\/em>26, 46 (2024), <a href=\"https:\/\/arxiv.org\/abs\/2307.06934\">arXiv<\/a><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00029-024-00982-y\" data-type=\"link\" data-id=\"https:\/\/arxiv.org\/abs\/2212.11797\">Global Kuranishi charts and a product formula in symplectic Gromov-Witten theory<\/a><\/strong> with Mohan Swaminathan<br><em>Selecta Math.<\/em> <em>(N.S)<\/em> 30, 87 (2024), <a href=\"https:\/\/arxiv.org\/abs\/2212.11797\">arXiv<\/a><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><br><br><br><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Notes<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Flow categories <br><\/strong><a href=\"https:\/\/amandahirschi.com\/?page_id=184\">Notes<\/a> taken during the <a href=\"https:\/\/www.pims.math.ca\/scientific-event\/220711-sdms2fht\">Floer homotopy theory summer school<\/a> in Vancouver<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Preprints Open Gromov-Witten invariants in genus zero and Lagrangian cobordismswith Kai Hugtenburg Open-closed Deligne-Mumford field theories: constructionwith Kai Hugtenburg, submitted Open-closed Deligne-Mumford field theories: geometric foundationswith Kai Hugtenburg, submitted A contact homotopy typewith Soham Chanda, submitted On Donaldson&#8217;s 4-6 question with Luya Wang, accepted at Geometry &amp; Topology Articles Properties of Gromov-Witten invariants defined via [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-23","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/pages\/23","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/amandahirschi.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=23"}],"version-history":[{"count":52,"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/pages\/23\/revisions"}],"predecessor-version":[{"id":681,"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/pages\/23\/revisions\/681"}],"wp:attachment":[{"href":"https:\/\/amandahirschi.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}