"Chern class" meaning in English

{
  "etymology_text": "Introduced by Shiing-Shen Chern (1946).",
  "forms": [
    {
      "form": "Chern classes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Chern class (plural Chern classes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
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          "source": "w"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any of a group of characteristic classes associated with complex vector bundles, with applications in physics, string theory, etc."
      ],
      "id": "en-Chern_class-en-noun-GuuPefL3",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topology",
          "topology"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "complex",
          "complex"
        ],
        [
          "vector bundle",
          "vector bundle"
        ],
        [
          "physics",
          "physics"
        ],
        [
          "string theory",
          "string theory"
        ]
      ],
      "raw_glosses": [
        "(mathematics, topology, geometry) Any of a group of characteristic classes associated with complex vector bundles, with applications in physics, string theory, etc."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "Chern class"
      ]
    }
  ],
  "word": "Chern class"
}

{
  "etymology_text": "Introduced by Shiing-Shen Chern (1946).",
  "forms": [
    {
      "form": "Chern classes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Chern class (plural Chern classes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
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        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Geometry",
        "en:Mathematics",
        "en:Topology"
      ],
      "glosses": [
        "Any of a group of characteristic classes associated with complex vector bundles, with applications in physics, string theory, etc."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topology",
          "topology"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "complex",
          "complex"
        ],
        [
          "vector bundle",
          "vector bundle"
        ],
        [
          "physics",
          "physics"
        ],
        [
          "string theory",
          "string theory"
        ]
      ],
      "raw_glosses": [
        "(mathematics, topology, geometry) Any of a group of characteristic classes associated with complex vector bundles, with applications in physics, string theory, etc."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences",
        "topology"
      ],
      "wikipedia": [
        "Chern class"
      ]
    }
  ],
  "word": "Chern class"
}