Tianyu Yuan's homepage

Research

Preprints

  1. (with Roman Krutowski) Heegaard Floer Symplectic homology and Viterbo’s isomorphism theorem in the context of multiple particles, arXiv preprint (2023).

  2. Folded Morse flow trees, arXiv preprint (2023).

Publications

  1. A link invariant from higher-dimensional Heegaard Floer homology, to appear in J. Sympl. Geom.

  2. (with Yin Tian) An example of higher-dimensional Heegaard Floer homology, to appear in Algebr. Geom. Topol.

  3. (with Ko Honda and Yin Tian) Higher-dimensional Heegaard Floer homology and Hecke algebras, J. Eur. Math. Soc. (2024)

  4. T. Yuan and G. Tanaka, Robustness of coupled oscillator networks with heterogeneous natural frequencies, Chaos, 27, 123105 (2017)

  5. T. Yuan, K. Aihara, and G. Tanaka, Robustness and Fragility in Coupled Oscillator Networks under Targeted Attacks, Physical Review E, Vol.95, No.1, pp.012315-1-6 (2017)

  6. T. Yuan, K. Aihara, G. Tanaka, Theory for Dynamical Robustness of Complex Networks against Targeted Attacks, Proc. Int. Symp. Nonlinear Theory and Its Applications (NOLTA, Yugawara, Nov. 27-30, Oral, Nov. 30), pp. 602-605 (2016)