The Net Advance of Physics:
SYMPLECTIC GROUPS/GEOMETRY

SYMPLECTIC GROUPS or SYMPLECTIC GEOMETRY:

• General:
  • From Dynamics to Contact and Symplectic Topology and Back by Jo Nelson [2016/11]
  • Topological Methods in the Quest for Periodic Orbits by Joa Weber [2018/02]
  • From Linear Algebra to Matrix Groups by Anupam Singh [2019/07] Problem set on matrix groups.
  • Remarks on Symplectic Geometry by Jae-Hyun Yang [2019/10]

• Type:DIRAC:
  • A brief introduction to Dirac manifolds by Henrique Bursztyn [2011/12]

• Type: REAL: Re: OPTICS Arvind et al. 95/09;

• Type: REAL: Re: QUANTUM MECHANICS: Arvind et al. 95/09;

• Aspects: FREDHOLM THEORY:
  • Polyfold and Fredholm Theory by Helmut Hofer et al. [2017/07] 700+ pp.
  • Introduction to the Batalin-Vilkovisky and Batalin-Fradkin-Vilkovisky Formalisms by Alberto S. Cattaneo and Nima Moshayedi [2019/05]

• Aspects: J-HOLOMORPHIC MAPS:
  • Notes on J-Holomorphic Maps by Aleksey Zinger [2017/06]

• Aspects: POLYFOLDS:
  • Polyfold and Fredholm Theory by Helmut Hofer et al. [2017/07] 700+ pp.
  • Polyfold and SFT Notes I: A Primer on Polyfolds and Construction Tools by Joel W. Fish and Helmut Hofer [2018/06]

• Re: FIELD THEORY:
  • Lectures on Symplectic Field Theory by Chris Wendl [2016/12] 343 pp.

• Re: RANDOM POLYNOMIALS: Zelditch 2000/10;

THE NET ADVANCE OF PHYSICS