Logic Masters Deutschland e.V.

Lore (you may skip below the image if you are looking for the rules):

For my second puzzle I wanted to add a flavor of my personal life to it. I've been playing chess regularly for about 15 years, and love the game. So I wanted to dedicate a puzzle to it. And what better way to do so than to make a puzzle around one of my least favorite openings to play with either side... The thermometers represent the pawn moves, and the arrows represent the piece moves. Hence we get the moves d4, d5, Nf3, Nf6, Bf4 and Bf5, entering a symmetrical London System setup. I might make more puzzles of this kind about other openings in the future to make a chess opening repertoire series. Anyway, I hope you enjoy the puzzle.

Rules

+Normal Sudoku rules apply: Place the digits 1 to 9 once in every column, row and box.
+Normal Killer rules apply: Digits inside of a cage must sum up to the indicated number at the top left corner of the cage. Digits in a cage can't repeat.
+Normal Arrow rules apply: Digits along an arrow must sum to the circled digit on the arrow. Digits along the arrow may repeat if allowed by the other rules.
+Normal Thermometer rules apply: Digits along a thermometer must keep increasing starting from the bulb.
+Chess Board: The bottom-left 8x8 part of this puzzle represents a chess board. Purple/pink colored cells are out of the chess board. Within the chess board, there are 5 rows and 5 columns in which the digits have consistent parity along the same color complex. Which rows and columns obey this rule must be determined by the solver.

Example for the chess board rule: If row 5 is determined by the solver to be one of the 5 rows of the board that obeys the parity, then all dark shaded cells in the row (excluding the one cell that's outside of the board and marked with purple shading) must be all odd or all even digits, while the light shaded squares must all have digits of the remaining parity.

Play here