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On well- definedness o f local index Topology of torus actions and

On well- definedness o f local index Topology of torus actions and its applications to geometry and combinatorics. Hajime Fujita Japan women’s university. Joint work with M. Furuta & T. Yoshida. 1/18. Main subject of this talk. 2/18. Contents. §1. Compatible fibration.

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On well- definedness o f local index Topology of torus actions and

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  1. On well-definedness of local index Topology of torus actions and its applications to geometry and combinatorics Hajime Fujita Japan women’s university

  2. Joint work with M. Furuta & T. Yoshida 1/18

  3. Main subject of this talk 2/18

  4. Contents §1. Compatible fibration §2. Compatible system §3. Local index §4. Well-definedness of local index 3/18

  5. §1. Compatible fibration 4/18

  6. 5/18

  7. 6/18

  8. 7/18

  9. §2. Compatible system 8/18

  10. 9/18

  11. 10/18

  12. 11/18

  13. 12/18

  14. §3. Local index 13/18

  15. 14/18

  16. §4. Well-definedness of local index 15/18

  17. 16/18

  18. 17/18

  19. 18/18

  20. Thank you for your attention!!

  21. Proof of the cobordism invariance Modification of the Braverman’s proof of the cobordism invariance of the transverse index Analytic realization of transverse index by perturbation of Dirac-type operator by Clifford action of the Kirwan vector field.

  22. Proof of the cobordism invariance

  23. Proof of the cobordism invariance

  24. Proof of the cobordism invariance

  25. Proof of the cobordism invariance

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