[
    {
        "id": "authors:xr0mz-jan31",
        "collection": "authors",
        "collection_id": "xr0mz-jan31",
        "cite_using_url": "https://authors.library.caltech.edu/records/xr0mz-jan31",
        "type": "article",
        "title": "Schubert defects in Lagrangian Grassmannians",
        "author": [
            {
                "family_name": "Gu",
                "given_name": "Wei",
                "orcid": "0000-0001-6104-6350"
            },
            {
                "family_name": "Mihalcea",
                "given_name": "Leonardo",
                "orcid": "0000-0002-8437-9163"
            },
            {
                "family_name": "Sharpe",
                "given_name": "Eric",
                "orcid": "0000-0002-9355-5720"
            },
            {
                "family_name": "Xu",
                "given_name": "Weihong",
                "orcid": "0000-0003-0990-5327",
                "clpid": "Xu-Weihong"
            },
            {
                "family_name": "Zhang",
                "given_name": "Hao",
                "orcid": "0000-0001-5002-9176"
            },
            {
                "family_name": "Zou",
                "given_name": "Hao",
                "orcid": "0000-0002-9494-2212"
            }
        ],
        "abstract": "<p>In this paper, we propose a construction of GLSM defects corresponding to Schubert cycles in Lagrangian Grassmannians, following recent work of Closset-Khlaif on Schubert cycles in ordinary Grassmannians. In the case of Lagrangian Grassmannians, there are superpotential terms in both the bulk GLSM as well as on the defect itself, enforcing isotropy constraints. We check our construction by comparing the locus on which the GLSM defect is supported to mathematical descriptions, checking dimensions, and perhaps most importantly, comparing defect indices to known and expected polynomial invariants of the Schubert cycles in quantum cohomology and quantum K theory.</p>",
        "doi": "10.1007/jhep06(2025)148",
        "issn": "1029-8479",
        "publisher": "Springer Science and Business Media LLC",
        "publication": "Journal of High Energy Physics",
        "publication_date": "2025-06",
        "series_number": "6",
        "volume": "2025",
        "issue": "6",
        "pages": "148"
    },
    {
        "id": "authors:2y5bj-9xm98",
        "collection": "authors",
        "collection_id": "2y5bj-9xm98",
        "cite_using_url": "https://authors.library.caltech.edu/records/2y5bj-9xm98",
        "type": "article",
        "title": "K-theoretic Gromov\u2013Witten invariants of line degrees on flag varieties",
        "author": [
            {
                "family_name": "Buch",
                "given_name": "Anders S.",
                "orcid": "0000-0001-6139-2392"
            },
            {
                "family_name": "Chen",
                "given_name": "Linda",
                "orcid": "0000-0002-8606-1634"
            },
            {
                "family_name": "Xu",
                "given_name": "Weihong",
                "orcid": "0000-0003-0990-5327",
                "clpid": "Xu-Weihong"
            }
        ],
        "abstract": "<p class=\"MsoNormal\"><span>A homology class&nbsp;d </span><span>&isin;</span><span> H\u2082(X,Z) of a complex flag variety&nbsp;X = G \u2215 P is called a&nbsp;<em>line degree</em>&nbsp;if the moduli space&nbsp;\u2133 0,0(X,d) of 0-pointed stable maps to&nbsp;<em>X</em>&nbsp;of degree&nbsp;<em>d</em>&nbsp;is also a flag variety&nbsp;G \u2215 P'. We prove a&nbsp;<em>quantum equals classical</em>&nbsp;formula stating that any&nbsp;<em>n</em>-pointed (equivariant,&nbsp;K-theoretic, genus zero) Gromov&ndash;Witten invariant of line degree on&nbsp;<em>X</em>&nbsp;is equal to a classical intersection number computed on the flag variety&nbsp;G \u2215 P&rsquo;. We also prove an&nbsp;<em>n</em>-pointed analogue of the Peterson comparison formula stating that these invariants coincide with Gromov&ndash;Witten invariants of the variety of complete flags&nbsp;G \u2215 B. Our formulas make it straightforward to compute the big quantum&nbsp;K-theory ring&nbsp;QK^(big)(X) modulo the ideal&nbsp;</span><span>\u27e8</span><span>Q^d</span><span>\u27e9</span><span> </span><span>generated by degrees&nbsp;<em>d</em>&nbsp;larger than line degrees.</span></p>",
        "doi": "10.1142/s0217751x24460138",
        "issn": "0217-751X",
        "publisher": "World Scientific Pub Co Pte Ltd",
        "publication": "International Journal of Modern Physics A",
        "publication_date": "2024-11-30",
        "series_number": "33",
        "volume": "39",
        "issue": "33",
        "pages": "2446013"
    }
]