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Nonorientable surfaces in homology cobordisms
Levine, Adam Simon ...
V članku proučujemo omejitve za vložitve neorientabilnih ploskev v ▫$4$▫-mnogoterost s homologijo ▫$M \times I$▫, kjer je ▫$M$▫ racionalna homološka ▫$3$▫-sfera. Omejitve se izražajo kot neenakosti, ...ki povezujejo rod in normalno Eulerjevo število ploskve ter bodisi ▫$d$▫-invariante Ozsvátha in Szaba bodisi Atiyah-Singerjeve ▫$\rho$▫-invariante mnogoterosti ▫$M$▫. Posledica teh je npr., da je minimalni rod gladke vložene ploskve v ▫$L(2p,q) \times I$▫ enak minimalnemu rodu ploskve v ▫$L(2p,q)$▫. Poleg tega obravnavamo tudi vložitve neorientabilnih ploskev v sklenjene ▫$4$▫-mnogoterosti.
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