[
    {
        "id": "authors:jxvj7-t6d97",
        "collection": "authors",
        "collection_id": "jxvj7-t6d97",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20130122-101459710",
        "type": "article",
        "title": "U-action on perturbed Heegaard Floer homology",
        "author": [
            {
                "family_name": "Wu",
                "given_name": "Zhongtao",
                "clpid": "Wu-Z"
            }
        ],
        "abstract": "This paper has two purposes. First, as a continuation of \"Perturbed Floer homology of some fibered three manifolds,\" we apply a similar method to compute the perturbed HF^+ for some special classes of fibered three-manifolds in the second highest spin^c_- structures, including the mapping tori of Dehn twists along a single non-separating curve and along a transverse pair of curves. Second, we establish an adjunction inequality for the perturbed Heegaard Floer homology, which indicates a potential connection between the U-action on the homology group and the Thurston norm of a three-manifold. As an application, we find the U-action on the perturbed HF^+ of the above classes of fibered three-manifolds is trivial.",
        "issn": "1527-5256",
        "publisher": "International Press of Boston",
        "publication": "Journal of Simplectic Geometry",
        "publication_date": "2012-09",
        "series_number": "3",
        "volume": "10",
        "issue": "3",
        "pages": "423-445"
    },
    {
        "id": "authors:gv1sq-knz63",
        "collection": "authors",
        "collection_id": "gv1sq-knz63",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20120706-091608193",
        "type": "article",
        "title": "On mapping cones of Seifert fibered surgeries",
        "author": [
            {
                "family_name": "Wu",
                "given_name": "Zhongtao",
                "clpid": "Wu-Z"
            }
        ],
        "abstract": "Using the mapping cone of a rational surgery, we give several obstructions for Seifert-fibered surgeries, including obstructions on the Alexander polynomial, the knot Floer homology, the surgery coefficient and the Seifert and four-ball genus of the knot. These generalize the corresponding results in Kronheimer, Mrowka, Ozsv\u00e1th and Szab\u00f3 ['Monopoles and lens space surgeries', Ann. Math. (2) 165 (2007) 457\u2013546] and Ozsv\u00e1th and Szab\u00f3 [On Heegaard Floer homology and Seifert fibered surgeries, Geometry and Topology Monographs 7 (Geometry and Topology Publications, Coventry, 2004)].",
        "doi": "10.1112/jtopol/jts008",
        "issn": "1753-8416",
        "publisher": "Oxford University Press",
        "publication": "Journal of Topology",
        "publication_date": "2012-06",
        "series_number": "2",
        "volume": "5",
        "issue": "2",
        "pages": "366-376"
    },
    {
        "id": "authors:r7jb0-qrq22",
        "collection": "authors",
        "collection_id": "r7jb0-qrq22",
        "cite_using_url": "https://resolver.caltech.edu/CaltechAUTHORS:20110822-152852180",
        "type": "article",
        "title": "Cosmetic surgery in L\u2013space homology spheres",
        "author": [
            {
                "family_name": "Wu",
                "given_name": "Zhongtao",
                "clpid": "Wu-Z"
            }
        ],
        "abstract": "Let K be a nontrivial knot in S^3, and let r and r\u2032 be two distinct rational numbers of same sign. We prove that there is no orientation-preserving homeomorphism between the manifolds S_r^3(K) and S_r\u2032^3(K). We further generalize this uniqueness result to knots in arbitrary L\u2013space homology spheres.",
        "doi": "10.2140/gt.2011.15.1157",
        "issn": "1465-3060",
        "publisher": "Geometry & Topology Publications",
        "publication": "Geometry and Topology",
        "publication_date": "2011",
        "series_number": "2",
        "volume": "15",
        "issue": "2",
        "pages": "1157-1168"
    }
]